Atkin-Lehner |
2- 3- 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718o |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-5.9734530497094E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,782313,259570665] |
[a1,a2,a3,a4,a6] |
Generators |
[1302:58389:1] |
Generators of the group modulo torsion |
j |
52949921290565062449167/59734530497093566464 |
j-invariant |
L |
11.442388515435 |
L(r)(E,1)/r! |
Ω |
0.13144388781864 |
Real period |
R |
0.87051506961073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154q1 |
Quadratic twists by: -3 |