Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976ca |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-17788724668841984 = -1 · 214 · 113 · 138 |
Discriminant |
Eigenvalues |
2- 1 3 2 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,61291,2678963] |
[a1,a2,a3,a4,a6] |
j |
321978368/224939 |
j-invariant |
L |
4.4247167769809 |
L(r)(E,1)/r! |
Ω |
0.24581763157879 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976bg1 29744bb1 9152z1 |
Quadratic twists by: -4 8 13 |