Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600dy |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
627200000000 = 215 · 58 · 72 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3208,57588] |
[a1,a2,a3,a4,a6] |
j |
46585/8 |
j-invariant |
L |
1.7415453770436 |
L(r)(E,1)/r! |
Ω |
0.8707726885218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450q1 78400kq1 19600cn1 19600di1 |
Quadratic twists by: -4 8 5 -7 |