Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120i |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-110110334609633280 = -1 · 212 · 3 · 5 · 1311 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 1 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91485,-19161195] |
[a1,a2,a3,a4,a6] |
j |
-4283098624/5569395 |
j-invariant |
L |
1.0472506487115 |
L(r)(E,1)/r! |
Ω |
0.13090632603429 |
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 |
81120bz1 6240t1 |
Quadratic twists by: -4 13 |