Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13050bb |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-20578218750 = -1 · 2 · 33 · 56 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-155,-6903] |
[a1,a2,a3,a4,a6] |
Generators |
[214:585:8] |
Generators of the group modulo torsion |
j |
-970299/48778 |
j-invariant |
L |
7.2956189367371 |
L(r)(E,1)/r! |
Ω |
0.53221747987153 |
Real period |
R |
2.2846609430222 |
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 |
104400dd1 13050b2 522c1 |
Quadratic twists by: -4 -3 5 |