Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
107484g |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7862400 |
Modular degree for the optimal curve |
Δ |
8068451294022912 = 28 · 36 · 138 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -4 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169918909,852475344527] |
[a1,a2,a3,a4,a6] |
Generators |
[60202:417:8] |
Generators of the group modulo torsion |
j |
2598137095613243392/38637 |
j-invariant |
L |
5.4618323132038 |
L(r)(E,1)/r! |
Ω |
0.21189640937276 |
Real period |
R |
4.2959925166228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999623131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107484f1 |
Quadratic twists by: 13 |