Atkin-Lehner |
2- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050bh |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-175175000000 = -1 · 26 · 58 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1395,1397] |
[a1,a2,a3,a4,a6] |
Generators |
[13:140:1] |
Generators of the group modulo torsion |
j |
19227292839/11211200 |
j-invariant |
L |
8.2853997762631 |
L(r)(E,1)/r! |
Ω |
0.61335064603961 |
Real period |
R |
2.251403779598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010j1 |
Quadratic twists by: 5 |