Atkin-Lehner |
2- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37400u |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55040 |
Modular degree for the optimal curve |
Δ |
1092781250000 = 24 · 59 · 112 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11583,473338] |
[a1,a2,a3,a4,a6] |
Generators |
[47:187:1] |
Generators of the group modulo torsion |
j |
5500147712/34969 |
j-invariant |
L |
3.4451760142868 |
L(r)(E,1)/r! |
Ω |
0.87639081714752 |
Real period |
R |
0.98277387977986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74800u1 37400h1 |
Quadratic twists by: -4 5 |