Atkin-Lehner |
3+ 11+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
23529b |
Isogeny class |
Conductor |
23529 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
16121906097 = 3 · 11 · 232 · 314 |
Discriminant |
Eigenvalues |
-1 3+ -2 4 11+ 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-684,2892] |
[a1,a2,a3,a4,a6] |
Generators |
[1734:24549:8] |
Generators of the group modulo torsion |
j |
35394167353537/16121906097 |
j-invariant |
L |
2.350454987193 |
L(r)(E,1)/r! |
Ω |
1.1103946714197 |
Real period |
R |
4.2335487510722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
70587l1 |
Quadratic twists by: -3 |