Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37400n |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8742250000000000 = 210 · 512 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-142675,-20249250] |
[a1,a2,a3,a4,a6] |
Generators |
[33488070:601059375:54872] |
Generators of the group modulo torsion |
j |
20074621850244/546390625 |
j-invariant |
L |
4.9062214338203 |
L(r)(E,1)/r! |
Ω |
0.24605623102858 |
Real period |
R |
9.9697158924008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74800l2 7480b2 |
Quadratic twists by: -4 5 |