Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bo |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57139200 |
Modular degree for the optimal curve |
Δ |
1.4949441600815E+27 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 6 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-821486739,-8869539954350] |
[a1,a2,a3,a4,a6] |
Generators |
[-2534660212781021918454028118907154985652095697202:29536720178534100570760673938730006327607618971640:172456907387876896521150398318827933548831169] |
Generators of the group modulo torsion |
j |
20532314472722162933444497/500653774461465805824 |
j-invariant |
L |
7.878646324228 |
L(r)(E,1)/r! |
Ω |
0.028241960338861 |
Real period |
R |
69.742381811462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12978p1 34608u1 |
Quadratic twists by: -4 -3 |