Atkin-Lehner |
2- 3+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cc |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
4610211840000000 = 220 · 32 · 57 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-155088,23215281] |
[a1,a2,a3,a4,a6] |
Generators |
[-431:3413:1] [-395:4997:1] |
Generators of the group modulo torsion |
j |
26402098520407609/295053557760 |
j-invariant |
L |
11.720287434792 |
L(r)(E,1)/r! |
Ω |
0.43653857527174 |
Real period |
R |
1.3424114269373 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999299 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14430o1 |
Quadratic twists by: 5 |