Atkin-Lehner |
2- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76342n |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
10153486 = 2 · 73 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 1 3 7- 2 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-134,566] |
[a1,a2,a3,a4,a6] |
j |
776151559/29602 |
j-invariant |
L |
9.0837393967329 |
L(r)(E,1)/r! |
Ω |
2.2709348493185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76342v1 |
Quadratic twists by: -7 |