Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330dl |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
702 |
Product of Tamagawa factors cp |
deg |
471744 |
Modular degree for the optimal curve |
Δ |
-841346528256000 = -1 · 213 · 39 · 53 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 13- -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,16045,1157025] |
[a1,a2,a3,a4,a6] |
Generators |
[430:-9575:1] |
Generators of the group modulo torsion |
j |
207927115021907/382952448000 |
j-invariant |
L |
12.241775229756 |
L(r)(E,1)/r! |
Ω |
0.34449501504616 |
Real period |
R |
0.050620257091762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014191 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330bj1 |
Quadratic twists by: 13 |