Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840p |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-16861859322880 = -1 · 210 · 5 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1976,199780] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:484:1] |
Generators of the group modulo torsion |
j |
-470596/9295 |
j-invariant |
L |
2.5880551490254 |
L(r)(E,1)/r! |
Ω |
0.58382475051417 |
Real period |
R |
0.55411646827555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995295743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62920u1 11440b1 |
Quadratic twists by: -4 -11 |