Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240bs |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
407831760 = 24 · 39 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104898,-13076723] |
[a1,a2,a3,a4,a6] |
Generators |
[389:2232:1] |
Generators of the group modulo torsion |
j |
10944043863218176/34965 |
j-invariant |
L |
5.5788603830612 |
L(r)(E,1)/r! |
Ω |
0.26528198147996 |
Real period |
R |
5.2574814454093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000000955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080q1 |
Quadratic twists by: -3 |