Atkin-Lehner |
2+ 3- 5+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050u |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1792603001601562500 = -1 · 22 · 32 · 510 · 72 · 1014 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,102374,63179648] |
[a1,a2,a3,a4,a6] |
Generators |
[984:-221443:27] [-158:6641:1] |
Generators of the group modulo torsion |
j |
7594143545504879/114726592102500 |
j-invariant |
L |
10.47340374617 |
L(r)(E,1)/r! |
Ω |
0.19639517419936 |
Real period |
R |
1.6665066668349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978728 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21210w3 |
Quadratic twists by: 5 |