Atkin-Lehner |
2- 3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
117648cc |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1087488 |
Modular degree for the optimal curve |
Δ |
-30580358596676352 = -1 · 28 · 310 · 196 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 5 1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-517080,-143361956] |
[a1,a2,a3,a4,a6] |
Generators |
[1190:30438:1] |
Generators of the group modulo torsion |
j |
-81927450244096000/163860803523 |
j-invariant |
L |
6.6982615271565 |
L(r)(E,1)/r! |
Ω |
0.089007801205432 |
Real period |
R |
3.1356153783788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29412c1 39216bj1 |
Quadratic twists by: -4 -3 |