Atkin-Lehner |
2+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116402n |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38016000 |
Modular degree for the optimal curve |
Δ |
-6.2542142852714E+23 |
Discriminant |
Eigenvalues |
2+ 3 -3 0 11- 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21283454,-4412652304] |
[a1,a2,a3,a4,a6] |
Generators |
[3042826524450:479429269949906:5744956671] |
Generators of the group modulo torsion |
j |
601857832933580053167/353034091700560556 |
j-invariant |
L |
8.1262152930372 |
L(r)(E,1)/r! |
Ω |
0.053707237471633 |
Real period |
R |
18.913222117711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10582p1 |
Quadratic twists by: -11 |