Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13916f |
Isogeny class |
Conductor |
13916 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
46872 |
Modular degree for the optimal curve |
Δ |
5134270125824 = 28 · 710 · 71 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29612,-1948456] |
[a1,a2,a3,a4,a6] |
Generators |
[-2634:1322:27] |
Generators of the group modulo torsion |
j |
39711952/71 |
j-invariant |
L |
5.5095939762975 |
L(r)(E,1)/r! |
Ω |
0.36398043357447 |
Real period |
R |
5.0456869546443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55664bd1 125244ba1 13916b1 |
Quadratic twists by: -4 -3 -7 |