Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288k |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
3571646740990861568 = 28 · 76 · 179 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-401228,36208628] |
[a1,a2,a3,a4,a6] |
j |
2000 |
j-invariant |
L |
3.9808075338416 |
L(r)(E,1)/r! |
Ω |
0.22115597399534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2312b1 113288m1 |
Quadratic twists by: -7 17 |