Atkin-Lehner |
2+ 7+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31304c |
Isogeny class |
Conductor |
31304 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-5607629267968 = -1 · 210 · 73 · 135 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ -3 13- -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131,113934] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:52:1] [-10:338:1] |
Generators of the group modulo torsion |
j |
-242793828/5476200457 |
j-invariant |
L |
7.0917602186983 |
L(r)(E,1)/r! |
Ω |
0.60761047212443 |
Real period |
R |
1.1671556933349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62608f1 |
Quadratic twists by: -4 |