Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600by |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26542080 |
Modular degree for the optimal curve |
Δ |
4.8573594213171E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 6 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-295187008,-1951936447488] |
[a1,a2,a3,a4,a6] |
j |
1841373668746009/31443200 |
j-invariant |
L |
3.6422997849372 |
L(r)(E,1)/r! |
Ω |
0.036422997980695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14450w1 23120bk1 6800m1 |
Quadratic twists by: -4 5 17 |