Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288a |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
114816 |
Modular degree for the optimal curve |
Δ |
927268850704 = 24 · 74 · 176 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ -3 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4720,114337] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:463:1] |
Generators of the group modulo torsion |
j |
12544 |
j-invariant |
L |
7.0625630276841 |
L(r)(E,1)/r! |
Ω |
0.8636981976191 |
Real period |
R |
4.088559565519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999961048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113288h1 392c1 |
Quadratic twists by: -7 17 |