Atkin-Lehner |
2+ 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
124630a |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-18685008179200 = -1 · 212 · 52 · 116 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3910,-186444] |
[a1,a2,a3,a4,a6] |
j |
3731087151/10547200 |
j-invariant |
L |
0.70666316325044 |
L(r)(E,1)/r! |
Ω |
0.35333071679469 |
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 |
1030c1 |
Quadratic twists by: -11 |