Atkin-Lehner |
2+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23534c |
Isogeny class |
Conductor |
23534 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
-8682804910976 = -1 · 27 · 79 · 412 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ 2 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1544,140480] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:204:1] |
Generators of the group modulo torsion |
j |
241912502663/5165261696 |
j-invariant |
L |
2.4202948312286 |
L(r)(E,1)/r! |
Ω |
0.54868955024024 |
Real period |
R |
4.4110459733903 |
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 |
23534n1 |
Quadratic twists by: 41 |