Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075ba |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
54731953125 = 36 · 57 · 312 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 -3 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1033,5719] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:112:1] |
Generators of the group modulo torsion |
j |
8126464/3645 |
j-invariant |
L |
6.5919522615344 |
L(r)(E,1)/r! |
Ω |
1.0046122545276 |
Real period |
R |
0.54680734051832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995911 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14415a1 72075a1 |
Quadratic twists by: 5 -31 |