Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2562g |
Isogeny class |
Conductor |
2562 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-38437870464 = -1 · 27 · 33 · 72 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 0 -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1312,20462] |
[a1,a2,a3,a4,a6] |
j |
-249487788397177/38437870464 |
j-invariant |
L |
2.2242791582661 |
L(r)(E,1)/r! |
Ω |
1.1121395791331 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
20496l1 81984q1 7686x1 64050bs1 |
Quadratic twists by: -4 8 -3 5 |