Atkin-Lehner |
2- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41876b |
Isogeny class |
Conductor |
41876 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-126085972016384 = -1 · 28 · 198 · 29 |
Discriminant |
Eigenvalues |
2- 3 -1 2 -3 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6137,507566] |
[a1,a2,a3,a4,a6] |
Generators |
[372210:5363738:3375] |
Generators of the group modulo torsion |
j |
2122416/10469 |
j-invariant |
L |
10.521324275767 |
L(r)(E,1)/r! |
Ω |
0.42179479132725 |
Real period |
R |
6.236044453427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2204c1 |
Quadratic twists by: -19 |