Atkin-Lehner |
2+ 3+ 5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370u |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21288960 |
Modular degree for the optimal curve |
Δ |
2.8195796451758E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -5 1 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40618232,-58336206144] |
[a1,a2,a3,a4,a6] |
Generators |
[-449649618050:16662005126533:96071912] |
Generators of the group modulo torsion |
j |
62993905739678382344569/23966031544474158720 |
j-invariant |
L |
3.71317492279 |
L(r)(E,1)/r! |
Ω |
0.061747761158417 |
Real period |
R |
15.033641921298 |
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 |
14910r1 |
Quadratic twists by: -7 |