Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12650k |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-76532500000 = -1 · 25 · 57 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 11- 0 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-692,15216] |
[a1,a2,a3,a4,a6] |
Generators |
[29:123:1] |
Generators of the group modulo torsion |
j |
-2347334289/4898080 |
j-invariant |
L |
3.1862942245927 |
L(r)(E,1)/r! |
Ω |
0.96743806914658 |
Real period |
R |
0.5489230312185 |
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 |
101200p1 113850du1 2530g1 |
Quadratic twists by: -4 -3 5 |