Atkin-Lehner |
2- 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34608x |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-987644641148928 = -1 · 228 · 36 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15472,-1313004] |
[a1,a2,a3,a4,a6] |
j |
99994258523375/241124179968 |
j-invariant |
L |
3.0667332902535 |
L(r)(E,1)/r! |
Ω |
0.25556110752228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4326i1 103824bt1 |
Quadratic twists by: -4 -3 |