Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
100188bl |
Isogeny class |
Conductor |
100188 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
5693142086639568 = 24 · 38 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11113608,-14260367275] |
[a1,a2,a3,a4,a6] |
Generators |
[-916824510620457549030480398021765458220080:6197683840056320165785386811573875662749:476286753643336542282002843863679488000] |
Generators of the group modulo torsion |
j |
7346581704933376/275517 |
j-invariant |
L |
10.091192972683 |
L(r)(E,1)/r! |
Ω |
0.082686724250752 |
Real period |
R |
61.020635731404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33396g1 9108m1 |
Quadratic twists by: -3 -11 |