Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
34692i |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
550520089458893568 = 28 · 37 · 710 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1372256972,-19565508048792] |
[a1,a2,a3,a4,a6] |
Generators |
[110177169007411424307368780064758432091019059826042904549473556870472220131707498164828791655362020794419197549108831848799513250:-20050416923440277661039763468819657358466429222986470719732094918368546743856249816001638066701464787814564073101114085108617405053:1808622902429522957394966822543033606375108386230632536319091771053356545121737080870243664544241209381642321136274265625000] |
Generators of the group modulo torsion |
j |
9488593576396338797405392/18278685747 |
j-invariant |
L |
4.9257759972077 |
L(r)(E,1)/r! |
Ω |
0.024805083491012 |
Real period |
R |
198.57929520748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104076y2 4956d2 |
Quadratic twists by: -3 -7 |