Atkin-Lehner |
5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
36425f |
Isogeny class |
Conductor |
36425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
22765625 = 56 · 31 · 47 |
Discriminant |
Eigenvalues |
1 0 5+ 0 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-767,-7984] |
[a1,a2,a3,a4,a6] |
Generators |
[-4744115040:2867014697:303464448] |
Generators of the group modulo torsion |
j |
3196010817/1457 |
j-invariant |
L |
6.6341557918263 |
L(r)(E,1)/r! |
Ω |
0.90716452317759 |
Real period |
R |
14.626135882358 |
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 |
1457a2 |
Quadratic twists by: 5 |