Atkin-Lehner |
3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325v |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-1729921875 = -1 · 3 · 57 · 112 · 61 |
Discriminant |
Eigenvalues |
2 3- 5+ -5 11+ -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2508,-49231] |
[a1,a2,a3,a4,a6] |
Generators |
[1468688:27560377:4096] |
Generators of the group modulo torsion |
j |
-111701610496/110715 |
j-invariant |
L |
11.733930307079 |
L(r)(E,1)/r! |
Ω |
0.33728531683763 |
Real period |
R |
8.697332585542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10065f1 |
Quadratic twists by: 5 |