Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715br |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
16915223214225 = 36 · 52 · 79 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6624,-60845] |
[a1,a2,a3,a4,a6] |
Generators |
[-6342:83651:343] |
Generators of the group modulo torsion |
j |
1092727/575 |
j-invariant |
L |
8.4282993708011 |
L(r)(E,1)/r! |
Ω |
0.56124279274315 |
Real period |
R |
7.5086036558525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5635b1 50715bc1 |
Quadratic twists by: -3 -7 |