Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952bo |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
373254158592 = 28 · 36 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1911,-13034] |
[a1,a2,a3,a4,a6] |
j |
35152/17 |
j-invariant |
L |
1.5157692981585 |
L(r)(E,1)/r! |
Ω |
0.75788458151041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59976t1 13328d1 2448c1 |
Quadratic twists by: -4 -3 -7 |