Atkin-Lehner |
3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
915b |
Isogeny class |
Conductor |
915 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
2745 = 32 · 5 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-57,144] |
[a1,a2,a3,a4,a6] |
Generators |
[0:12:1] |
Generators of the group modulo torsion |
j |
21047437081/2745 |
j-invariant |
L |
2.613079680411 |
L(r)(E,1)/r! |
Ω |
4.3738322546604 |
Real period |
R |
1.194869637548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14640bj1 58560x1 2745c1 4575f1 |
Quadratic twists by: -4 8 -3 5 |