Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13328f |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-246514688 = -1 · 210 · 72 · 173 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- -5 7 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91,826] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-34:1] |
Generators of the group modulo torsion |
j |
-1660932/4913 |
j-invariant |
L |
2.1720649480237 |
L(r)(E,1)/r! |
Ω |
1.5442924651219 |
Real period |
R |
0.23441856568408 |
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 |
6664f1 53312cl1 119952y1 13328a1 |
Quadratic twists by: -4 8 -3 -7 |