Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872g |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-434830704 = -1 · 24 · 3 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 11+ 1 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-604,6007] |
[a1,a2,a3,a4,a6] |
j |
-12967168/231 |
j-invariant |
L |
3.3522072091689 |
L(r)(E,1)/r! |
Ω |
1.6761036045845 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12936l1 103488iw1 77616cn1 3696j1 |
Quadratic twists by: -4 8 -3 -7 |