Atkin-Lehner |
2- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
83300c |
Isogeny class |
Conductor |
83300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
1960032340000000 = 28 · 57 · 78 · 17 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-251533,48592937] |
[a1,a2,a3,a4,a6] |
Generators |
[272:475:1] |
Generators of the group modulo torsion |
j |
76324864/85 |
j-invariant |
L |
5.3558710851053 |
L(r)(E,1)/r! |
Ω |
0.46509660388072 |
Real period |
R |
2.8789024898862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16660a1 83300k1 |
Quadratic twists by: 5 -7 |