Atkin-Lehner |
2- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
104468v |
Isogeny class |
Conductor |
104468 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
317952 |
Modular degree for the optimal curve |
Δ |
37640656144 = 24 · 72 · 134 · 412 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 3 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8869,321349] |
[a1,a2,a3,a4,a6] |
Generators |
[92:533:1] [1:559:1] |
Generators of the group modulo torsion |
j |
98408273870592/48011041 |
j-invariant |
L |
6.1896648324645 |
L(r)(E,1)/r! |
Ω |
1.1379266583492 |
Real period |
R |
0.22664263938916 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104468e1 |
Quadratic twists by: -7 |