Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840s |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
562176 |
Modular degree for the optimal curve |
Δ |
823456691200 = 210 · 52 · 114 · 133 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 11- 13- -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5203,137698] |
[a1,a2,a3,a4,a6] |
Generators |
[209:2860:1] [-77:286:1] [-66:440:1] |
Generators of the group modulo torsion |
j |
1038997476/54925 |
j-invariant |
L |
9.5074577391333 |
L(r)(E,1)/r! |
Ω |
0.88028176394766 |
Real period |
R |
0.15000654285114 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
1.0000000000753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62920w1 125840h1 |
Quadratic twists by: -4 -11 |