Atkin-Lehner |
2+ 3- 7+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642q |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-119761949014344 = -1 · 23 · 39 · 75 · 13 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 5 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11565,-708723] |
[a1,a2,a3,a4,a6] |
Generators |
[1158:5793:8] |
Generators of the group modulo torsion |
j |
-234668187084241/164282508936 |
j-invariant |
L |
4.9741455441551 |
L(r)(E,1)/r! |
Ω |
0.22328002013528 |
Real period |
R |
2.7847014379045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982846 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214z1 |
Quadratic twists by: -3 |