Atkin-Lehner |
2- 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710cm |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-19314661860 = -1 · 22 · 32 · 5 · 135 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1281,18765] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:165:1] |
Generators of the group modulo torsion |
j |
-804441463921/66832740 |
j-invariant |
L |
13.428014269868 |
L(r)(E,1)/r! |
Ω |
1.1951143726368 |
Real period |
R |
2.8089391571348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112710cd1 |
Quadratic twists by: 17 |