Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
63580b |
Isogeny class |
Conductor |
63580 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
88128 |
Modular degree for the optimal curve |
Δ |
-12935732480 = -1 · 28 · 5 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28996,1890820] |
[a1,a2,a3,a4,a6] |
Generators |
[36:946:1] |
Generators of the group modulo torsion |
j |
-126100646224/605 |
j-invariant |
L |
5.4035143982848 |
L(r)(E,1)/r! |
Ω |
1.1153693274455 |
Real period |
R |
2.4222982760861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63580n1 |
Quadratic twists by: 17 |