Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232de |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
245205357821952 = 222 · 3 · 117 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15649,18625] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:484:1] |
Generators of the group modulo torsion |
j |
912673/528 |
j-invariant |
L |
1.9472901347352 |
L(r)(E,1)/r! |
Ω |
0.46997647396746 |
Real period |
R |
2.0716889489133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23232cg1 5808bf1 69696gk1 2112u1 |
Quadratic twists by: -4 8 -3 -11 |