Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150cd |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
deg |
39223296 |
Modular degree for the optimal curve |
Δ |
1.4193179806925E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1723151188,27471834990992] |
[a1,a2,a3,a4,a6] |
Generators |
[3272:4674764:1] |
Generators of the group modulo torsion |
j |
36213778215446211023083538041/90836350764318720000000 |
j-invariant |
L |
11.746493044528 |
L(r)(E,1)/r! |
Ω |
0.048094198918661 |
Real period |
R |
3.8162389216836 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10230g1 |
Quadratic twists by: 5 |