Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600ge |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-103723200 = -1 · 26 · 33 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,82,-372] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
15680/27 |
j-invariant |
L |
8.188822920612 |
L(r)(E,1)/r! |
Ω |
0.99095737977362 |
Real period |
R |
1.3772578371941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600a1 117600bh1 117600ej1 |
Quadratic twists by: -4 5 -7 |