Atkin-Lehner |
2- 3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
30798t |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-16395080249664 = -1 · 26 · 36 · 29 · 594 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 1 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2273,199793] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:492:1] |
Generators of the group modulo torsion |
j |
-1780800847561/22489822016 |
j-invariant |
L |
7.7125631932935 |
L(r)(E,1)/r! |
Ω |
0.59030404518585 |
Real period |
R |
0.54439199992164 |
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 |
3422a1 |
Quadratic twists by: -3 |