Atkin-Lehner |
7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
31423b |
Isogeny class |
Conductor |
31423 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
143616 |
Modular degree for the optimal curve |
Δ |
42424981237261 = 7 · 677 |
Discriminant |
Eigenvalues |
1 3 -1 7- 0 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52465,-4601716] |
[a1,a2,a3,a4,a6] |
Generators |
[-329262840:401767334:2460375] |
Generators of the group modulo torsion |
j |
176558481/469 |
j-invariant |
L |
11.001084033923 |
L(r)(E,1)/r! |
Ω |
0.31550124849449 |
Real period |
R |
8.7171477818371 |
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 |
469b1 |
Quadratic twists by: -67 |