Atkin-Lehner |
2- 5+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51850n |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55200 |
Modular degree for the optimal curve |
Δ |
8661127700 = 22 · 52 · 175 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 -3 5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2848,58092] |
[a1,a2,a3,a4,a6] |
j |
102191127064105/346445108 |
j-invariant |
L |
2.6199964248786 |
L(r)(E,1)/r! |
Ω |
1.3099982122341 |
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 |
51850k1 |
Quadratic twists by: 5 |