Atkin-Lehner |
2+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7904b |
Isogeny class |
Conductor |
7904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2432 |
Modular degree for the optimal curve |
Δ |
-13152256 = -1 · 212 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ -2 -3 -1 -1 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-237,1339] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:52:1] [6:13:1] |
Generators of the group modulo torsion |
j |
-360944128/3211 |
j-invariant |
L |
3.6003205007932 |
L(r)(E,1)/r! |
Ω |
2.2514951775416 |
Real period |
R |
0.39976995472892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7904a1 15808s1 71136bf1 102752k1 |
Quadratic twists by: -4 8 -3 13 |