Atkin-Lehner |
3- 7+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
71757k |
Isogeny class |
Conductor |
71757 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14848 |
Modular degree for the optimal curve |
Δ |
5812317 = 36 · 7 · 17 · 67 |
Discriminant |
Eigenvalues |
2 3- 0 7+ 3 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-45,-7] |
[a1,a2,a3,a4,a6] |
j |
13824000/7973 |
j-invariant |
L |
4.0193596194776 |
L(r)(E,1)/r! |
Ω |
2.0096798101511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973d1 |
Quadratic twists by: -3 |