Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51842p |
Isogeny class |
Conductor |
51842 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
11216080652394884 = 22 · 77 · 237 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-104224,11897724] |
[a1,a2,a3,a4,a6] |
j |
7189057/644 |
j-invariant |
L |
0.78678858170367 |
L(r)(E,1)/r! |
Ω |
0.39339429105894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7406g1 2254g1 |
Quadratic twists by: -7 -23 |