Atkin-Lehner |
2- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
46256w |
Isogeny class |
Conductor |
46256 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-1393144868864 = -1 · 212 · 78 · 59 |
Discriminant |
Eigenvalues |
2- -1 2 7+ -4 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9032,-332240] |
[a1,a2,a3,a4,a6] |
Generators |
[180:1960:1] |
Generators of the group modulo torsion |
j |
-3451273/59 |
j-invariant |
L |
4.3369130700037 |
L(r)(E,1)/r! |
Ω |
0.24461261690814 |
Real period |
R |
1.4774766202502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2891a1 46256ba1 |
Quadratic twists by: -4 -7 |