Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3450c |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2587500000 = 25 · 32 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-98125,-11871875] |
[a1,a2,a3,a4,a6] |
j |
6687281588245201/165600 |
j-invariant |
L |
0.53949081770207 |
L(r)(E,1)/r! |
Ω |
0.26974540885103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27600cg2 110400dn2 10350bi2 690j2 |
Quadratic twists by: -4 8 -3 5 |