Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560bd |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
472122075600 = 24 · 35 · 52 · 75 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1361395,611852482] |
[a1,a2,a3,a4,a6] |
j |
17440402442527904475136/29507629725 |
j-invariant |
L |
3.0147106105574 |
L(r)(E,1)/r! |
Ω |
0.60294212211159 |
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 |
14280ca1 114240jm1 85680bi1 |
Quadratic twists by: -4 8 -3 |