Atkin-Lehner |
2- 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
117300z |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
854784 |
Modular degree for the optimal curve |
Δ |
-24584613750000 = -1 · 24 · 37 · 57 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -1 -6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-109258,13866113] |
[a1,a2,a3,a4,a6] |
Generators |
[182:207:1] [-232:5175:1] |
Generators of the group modulo torsion |
j |
-576962274977536/98338455 |
j-invariant |
L |
11.731596231399 |
L(r)(E,1)/r! |
Ω |
0.65134095075618 |
Real period |
R |
0.10721102349489 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999962906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23460i1 |
Quadratic twists by: 5 |