Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600bk |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-1548000000000 = -1 · 211 · 32 · 59 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -4 3 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-497208,-135110412] |
[a1,a2,a3,a4,a6] |
j |
-3398434606474/387 |
j-invariant |
L |
1.4383180779391 |
L(r)(E,1)/r! |
Ω |
0.089894879855658 |
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 |
25800g1 51600r1 |
Quadratic twists by: -4 5 |