Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
118976cu |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-269830288572416 = -1 · 223 · 114 · 133 |
Discriminant |
Eigenvalues |
2- 3 1 1 11+ 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14092,1019408] |
[a1,a2,a3,a4,a6] |
Generators |
[3783:36179:27] |
Generators of the group modulo torsion |
j |
-537367797/468512 |
j-invariant |
L |
15.003534704682 |
L(r)(E,1)/r! |
Ω |
0.5038507798412 |
Real period |
R |
3.7222168021908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976722 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976bu1 29744bk1 118976dv1 |
Quadratic twists by: -4 8 13 |