Atkin-Lehner |
3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
86775v |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9331200 |
Modular degree for the optimal curve |
Δ |
-6.2207185707488E+21 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 -6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6709508,-7692962356] |
[a1,a2,a3,a4,a6] |
Generators |
[9589:899866:1] |
Generators of the group modulo torsion |
j |
-2137842841970353033216/398125988527921875 |
j-invariant |
L |
4.0687924858827 |
L(r)(E,1)/r! |
Ω |
0.046433588043489 |
Real period |
R |
7.3021718697054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17355d1 |
Quadratic twists by: 5 |