Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710cn |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2570400 |
Modular degree for the optimal curve |
Δ |
-2865836129183275950 = -1 · 2 · 37 · 52 · 13 · 1710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -6 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,332344,34605486] |
[a1,a2,a3,a4,a6] |
Generators |
[2078:93101:8] |
Generators of the group modulo torsion |
j |
2013714719/1421550 |
j-invariant |
L |
12.771565466834 |
L(r)(E,1)/r! |
Ω |
0.16120376625811 |
Real period |
R |
5.6590158888951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710ce1 |
Quadratic twists by: 17 |