Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69384bb |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
4147043988390912 = 210 · 35 · 710 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-227768,-41800704] |
[a1,a2,a3,a4,a6] |
Generators |
[919:22932:1] |
Generators of the group modulo torsion |
j |
10847147534500/34423137 |
j-invariant |
L |
8.3528370175799 |
L(r)(E,1)/r! |
Ω |
0.21857932408018 |
Real period |
R |
3.8214213772304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9912k1 |
Quadratic twists by: -7 |