Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
3090d |
Isogeny class |
Conductor |
3090 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-509822709120 = -1 · 27 · 36 · 5 · 1033 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 3 -1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1294,-38848] |
[a1,a2,a3,a4,a6] |
Generators |
[58:257:1] |
Generators of the group modulo torsion |
j |
-239355822010969/509822709120 |
j-invariant |
L |
2.6159748157644 |
L(r)(E,1)/r! |
Ω |
0.3731118235278 |
Real period |
R |
3.5056176872527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
24720j1 98880p1 9270z1 15450v1 |
Quadratic twists by: -4 8 -3 5 |