Atkin-Lehner |
2+ 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
23650g |
Isogeny class |
Conductor |
23650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-2956250000 = -1 · 24 · 58 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-151,2698] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:56:1] |
Generators of the group modulo torsion |
j |
-24137569/189200 |
j-invariant |
L |
4.6884842617734 |
L(r)(E,1)/r! |
Ω |
1.2236243176688 |
Real period |
R |
0.95790926064334 |
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 |
4730f1 |
Quadratic twists by: 5 |