Atkin-Lehner |
2- 3+ 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506u |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
85 |
Product of Tamagawa factors cp |
deg |
310080 |
Modular degree for the optimal curve |
Δ |
2882953205121024 = 217 · 33 · 7 · 195 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 2 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-58797,4816995] |
[a1,a2,a3,a4,a6] |
Generators |
[87:564:1] |
Generators of the group modulo torsion |
j |
22479656807551808593/2882953205121024 |
j-invariant |
L |
5.7262321258359 |
L(r)(E,1)/r! |
Ω |
0.43584349616444 |
Real period |
R |
0.15456795241276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112518p1 |
Quadratic twists by: -3 |