Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120di |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-337538068377840 = -1 · 24 · 39 · 5 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -6 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35937,-2767149] |
[a1,a2,a3,a4,a6] |
j |
-76032/5 |
j-invariant |
L |
1.0363081605268 |
L(r)(E,1)/r! |
Ω |
0.17271803184956 |
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 |
21780d1 87120cv1 87120dh1 |
Quadratic twists by: -4 -3 -11 |