Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
118976dq |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
439296 |
Modular degree for the optimal curve |
Δ |
-15289482359996416 = -1 · 217 · 11 · 139 |
Discriminant |
Eigenvalues |
2- 0 1 1 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8788,5940688] |
[a1,a2,a3,a4,a6] |
j |
54/11 |
j-invariant |
L |
2.4314576141252 |
L(r)(E,1)/r! |
Ω |
0.30393218022157 |
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 |
118976u1 29744e1 118976cq1 |
Quadratic twists by: -4 8 13 |