Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
25800r |
Isogeny class |
Conductor |
25800 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-2782108944000000 = -1 · 210 · 37 · 56 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 1 -1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10008,2563488] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:1548:1] |
Generators of the group modulo torsion |
j |
-6929294404/173881809 |
j-invariant |
L |
6.0603101509833 |
L(r)(E,1)/r! |
Ω |
0.37989429811176 |
Real period |
R |
0.37982433416383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51600g1 77400bo1 1032b1 |
Quadratic twists by: -4 -3 5 |