Atkin-Lehner |
2+ 3+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
61104b |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6116352 |
Modular degree for the optimal curve |
Δ |
-3.0758162064625E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -1 -3 -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87407785,314578575109] |
[a1,a2,a3,a4,a6] |
Generators |
[7740:318853:1] [117530:11868849:8] |
Generators of the group modulo torsion |
j |
-288492213933221006392032256/12014907056494262091 |
j-invariant |
L |
8.8248588496814 |
L(r)(E,1)/r! |
Ω |
0.13354519228059 |
Real period |
R |
8.2601802234285 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30552g1 |
Quadratic twists by: -4 |