Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600hf |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-127060920000000000 = -1 · 212 · 33 · 510 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,81667,-14582037] |
[a1,a2,a3,a4,a6] |
j |
12800/27 |
j-invariant |
L |
1.0291811921725 |
L(r)(E,1)/r! |
Ω |
0.17153018780774 |
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 |
117600x1 117600bz1 2400s1 |
Quadratic twists by: -4 5 -7 |