Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680cv |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
15927483600 = 24 · 39 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1728,-26973] |
[a1,a2,a3,a4,a6] |
j |
1811939328/50575 |
j-invariant |
L |
1.4834883611907 |
L(r)(E,1)/r! |
Ω |
0.74174417937277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420a1 85680dc1 |
Quadratic twists by: -4 -3 |