Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600cf |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
652800000000 = 215 · 3 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -1 6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28833,-1874463] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:16:1] |
Generators of the group modulo torsion |
j |
207108680/51 |
j-invariant |
L |
5.6533042963565 |
L(r)(E,1)/r! |
Ω |
0.36638042249474 |
Real period |
R |
2.5716914023569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000217 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600ew1 40800be1 81600da1 |
Quadratic twists by: -4 8 5 |