Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976bl |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
6.3502468596586E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -4 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-148504251,-696555593818] |
[a1,a2,a3,a4,a6] |
j |
1717641340122148/3011499 |
j-invariant |
L |
3.1138477576376 |
L(r)(E,1)/r! |
Ω |
0.043247885538786 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119952bd1 19992l1 59976be1 |
Quadratic twists by: -4 -3 -7 |