Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568bq |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
1324657152 = 29 · 37 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 3 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-144824,21165132] |
[a1,a2,a3,a4,a6] |
Generators |
[1754:27:8] |
Generators of the group modulo torsion |
j |
3882322961655944/15309 |
j-invariant |
L |
8.6731943000353 |
L(r)(E,1)/r! |
Ω |
1.0227929244494 |
Real period |
R |
1.2114160465294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999692758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113568e1 113568cn1 |
Quadratic twists by: -4 13 |