Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120bi |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
13614035424572880 = 24 · 38 · 5 · 1110 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60258,949003] |
[a1,a2,a3,a4,a6] |
Generators |
[1755811:24593940:4913] |
Generators of the group modulo torsion |
j |
1171019776/658845 |
j-invariant |
L |
7.3248511851823 |
L(r)(E,1)/r! |
Ω |
0.34279855937982 |
Real period |
R |
10.683900173798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560cb1 29040bp1 7920j1 |
Quadratic twists by: -4 -3 -11 |