Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840bv |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-4897843200192800000 = -1 · 28 · 55 · 118 · 134 |
Discriminant |
Eigenvalues |
2- 1 5+ -5 11- 13- 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,319884,-80443816] |
[a1,a2,a3,a4,a6] |
j |
65965743536/89253125 |
j-invariant |
L |
1.5547901611581 |
L(r)(E,1)/r! |
Ω |
0.12956607467015 |
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 |
31460h1 125840bj1 |
Quadratic twists by: -4 -11 |