Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7904d |
Isogeny class |
Conductor |
7904 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-4747964416 = -1 · 212 · 132 · 193 |
Discriminant |
Eigenvalues |
2+ -2 1 3 -1 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,195,3211] |
[a1,a2,a3,a4,a6] |
Generators |
[9:76:1] |
Generators of the group modulo torsion |
j |
199176704/1159171 |
j-invariant |
L |
3.4561634180003 |
L(r)(E,1)/r! |
Ω |
0.99144482997685 |
Real period |
R |
0.29049888552388 |
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 |
7904e1 15808b1 71136bm1 102752j1 |
Quadratic twists by: -4 8 -3 13 |