Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730bo |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
4478976 |
Modular degree for the optimal curve |
Δ |
4.6119751762719E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1939348,-114216994] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:15527:1] |
Generators of the group modulo torsion |
j |
6856498574145373609/3920114217946500 |
j-invariant |
L |
7.4296059726168 |
L(r)(E,1)/r! |
Ω |
0.13860209917686 |
Real period |
R |
0.49633193412205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390b1 |
Quadratic twists by: -7 |