Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fx |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1317888 |
Modular degree for the optimal curve |
Δ |
-420157934844480000 = -1 · 29 · 313 · 54 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 3 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,87792,29506212] |
[a1,a2,a3,a4,a6] |
j |
1987675000/11160261 |
j-invariant |
L |
1.7242123353332 |
L(r)(E,1)/r! |
Ω |
0.21552664763711 |
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 |
117600dw1 117600cz1 16800cb1 |
Quadratic twists by: -4 5 -7 |