Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400cn |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-47258883000000 = -1 · 26 · 39 · 56 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10125,513000] |
[a1,a2,a3,a4,a6] |
Generators |
[55:350:1] |
Generators of the group modulo torsion |
j |
-5832000/2401 |
j-invariant |
L |
5.5050966553447 |
L(r)(E,1)/r! |
Ω |
0.59717380119467 |
Real period |
R |
1.1523229594737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50400cf1 100800jv2 50400j1 2016a1 |
Quadratic twists by: -4 8 -3 5 |