Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112710bu |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-3662309047793994000 = -1 · 24 · 310 · 53 · 135 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -5 13+ 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-124276,93553349] |
[a1,a2,a3,a4,a6] |
Generators |
[2158:70359:8] |
Generators of the group modulo torsion |
j |
-2541499591834369/43848960714000 |
j-invariant |
L |
8.7869192032432 |
L(r)(E,1)/r! |
Ω |
0.21020207125368 |
Real period |
R |
5.2252810461958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001468 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710db1 |
Quadratic twists by: 17 |