Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
24402h |
Isogeny class |
Conductor |
24402 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-1286150162304 = -1 · 27 · 3 · 79 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 3 4 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1836,-45230] |
[a1,a2,a3,a4,a6] |
Generators |
[24090:256759:216] |
Generators of the group modulo torsion |
j |
16974593/31872 |
j-invariant |
L |
5.0317921091634 |
L(r)(E,1)/r! |
Ω |
0.44979199085103 |
Real period |
R |
5.5934656591406 |
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 |
73206bp1 24402d1 |
Quadratic twists by: -3 -7 |