Atkin-Lehner |
2- 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658ch |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3735552 |
Modular degree for the optimal curve |
Δ |
-3622154766903303246 = -1 · 2 · 38 · 714 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11+ 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,302868,65462235] |
[a1,a2,a3,a4,a6] |
j |
26115332008714703/30787807519854 |
j-invariant |
L |
0.66638239913891 |
L(r)(E,1)/r! |
Ω |
0.16659585002694 |
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 |
17094v1 |
Quadratic twists by: -7 |