Atkin-Lehner |
3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52635k |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-39441037185 = -1 · 35 · 5 · 113 · 293 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11+ -5 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1306,-20635] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1370:1] |
Generators of the group modulo torsion |
j |
-185095547099/29632635 |
j-invariant |
L |
3.1257227747178 |
L(r)(E,1)/r! |
Ω |
0.39362116646148 |
Real period |
R |
0.26469806004932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52635j1 |
Quadratic twists by: -11 |