Atkin-Lehner |
2- 3- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
113544l |
Isogeny class |
Conductor |
113544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-219846617856 = -1 · 28 · 38 · 19 · 832 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -3 0 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,23812] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:166:1] |
Generators of the group modulo torsion |
j |
-232428544/1178019 |
j-invariant |
L |
7.4245110874281 |
L(r)(E,1)/r! |
Ω |
0.86376908371384 |
Real period |
R |
1.0744351743959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37848c1 |
Quadratic twists by: -3 |