Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840ee |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
121739673600 = 222 · 33 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,-13104] |
[a1,a2,a3,a4,a6] |
j |
47832147/17200 |
j-invariant |
L |
3.1860741063865 |
L(r)(E,1)/r! |
Ω |
0.79651878759548 |
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 |
123840p1 30960r1 123840dt1 |
Quadratic twists by: -4 8 -3 |