Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400ge |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-3.868754706432E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16192408,26799927188] |
[a1,a2,a3,a4,a6] |
Generators |
[3345134:165543936:2197] |
Generators of the group modulo torsion |
j |
-7336316844655213969/604492922880000 |
j-invariant |
L |
6.9830934403021 |
L(r)(E,1)/r! |
Ω |
0.11280915181232 |
Real period |
R |
7.737729300934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007402 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550k1 18480bv1 |
Quadratic twists by: -4 5 |