Atkin-Lehner |
2+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15808c |
Isogeny class |
Conductor |
15808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-25988857856 = -1 · 215 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ -3 1 5 0 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,308,-7472] |
[a1,a2,a3,a4,a6] |
Generators |
[28:152:1] |
Generators of the group modulo torsion |
j |
98611128/793117 |
j-invariant |
L |
3.7530902346757 |
L(r)(E,1)/r! |
Ω |
0.59069819385013 |
Real period |
R |
1.5884127773497 |
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 |
15808f1 7904f1 |
Quadratic twists by: -4 8 |