Atkin-Lehner |
2+ 3+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
11346a |
Isogeny class |
Conductor |
11346 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7733760 |
Modular degree for the optimal curve |
Δ |
-1.4638023354002E+27 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 3 -7 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-261782173,2458792194301] |
[a1,a2,a3,a4,a6] |
j |
-1984010288015960957234011923289/1463802335400237906656231424 |
j-invariant |
L |
0.35205417578394 |
L(r)(E,1)/r! |
Ω |
0.044006771972993 |
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 |
90768i1 34038i1 |
Quadratic twists by: -4 -3 |