Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700z |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
31766436731250000 = 24 · 34 · 58 · 137 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-445033,113800688] |
[a1,a2,a3,a4,a6] |
Generators |
[-607:12675:1] |
Generators of the group modulo torsion |
j |
8077950976/26325 |
j-invariant |
L |
7.556874899494 |
L(r)(E,1)/r! |
Ω |
0.37167936593051 |
Real period |
R |
0.84715433877122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10140b1 3900k1 |
Quadratic twists by: 5 13 |