Atkin-Lehner |
3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075bd |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
6448268932265625 = 3 · 57 · 317 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-240751,45282773] |
[a1,a2,a3,a4,a6] |
Generators |
[93347627826:33232741229:311665752] |
Generators of the group modulo torsion |
j |
111284641/465 |
j-invariant |
L |
11.741822435356 |
L(r)(E,1)/r! |
Ω |
0.42485774218169 |
Real period |
R |
13.818534146017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14415c1 2325b1 |
Quadratic twists by: 5 -31 |