Atkin-Lehner |
2- 3+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
59388b |
Isogeny class |
Conductor |
59388 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
127872 |
Modular degree for the optimal curve |
Δ |
19759062960336 = 24 · 3 · 79 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15157,-680630] |
[a1,a2,a3,a4,a6] |
Generators |
[38274:7487690:1] |
Generators of the group modulo torsion |
j |
204589760512/10496829 |
j-invariant |
L |
6.171670309584 |
L(r)(E,1)/r! |
Ω |
0.43164474541424 |
Real period |
R |
7.1490159155428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8484b1 |
Quadratic twists by: -7 |