Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96900bn |
Isogeny class |
Conductor |
96900 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-23546700000000 = -1 · 28 · 36 · 58 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12333,572463] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:1050:1] |
Generators of the group modulo torsion |
j |
-2074746880/235467 |
j-invariant |
L |
7.8598210892022 |
L(r)(E,1)/r! |
Ω |
0.65645943483771 |
Real period |
R |
1.995508194271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000828 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
96900j1 |
Quadratic twists by: 5 |