Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960bx |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
1.7389559573399E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-651275,25696698] |
[a1,a2,a3,a4,a6] |
Generators |
[-659:13005:1] |
Generators of the group modulo torsion |
j |
16229658398623744/9238051095525 |
j-invariant |
L |
8.1635637888986 |
L(r)(E,1)/r! |
Ω |
0.18794948155566 |
Real period |
R |
0.51708194359474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280e1 |
Quadratic twists by: -7 |