Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120c |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
421200 = 24 · 34 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111,-414] |
[a1,a2,a3,a4,a6] |
j |
9538484224/26325 |
j-invariant |
L |
1.4699930906846 |
L(r)(E,1)/r! |
Ω |
1.4699930906846 |
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 |
1560e1 12480cz1 9360v1 15600q1 |
Quadratic twists by: -4 8 -3 5 |