Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10580c |
Isogeny class |
Conductor |
10580 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-1361930178800 = -1 · 24 · 52 · 237 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 4 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5466,-163559] |
[a1,a2,a3,a4,a6] |
Generators |
[100:529:1] |
Generators of the group modulo torsion |
j |
-7626496/575 |
j-invariant |
L |
3.8536945678277 |
L(r)(E,1)/r! |
Ω |
0.27641936877874 |
Real period |
R |
0.58089491956458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42320l1 95220ba1 52900j1 460d1 |
Quadratic twists by: -4 -3 5 -23 |