Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600cy |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
4279910400000000 = 220 · 35 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76408,-7520812] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:750:1] |
Generators of the group modulo torsion |
j |
770842973809/66873600 |
j-invariant |
L |
7.2432886729994 |
L(r)(E,1)/r! |
Ω |
0.28874235282452 |
Real period |
R |
1.2542823389349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450e1 10320r1 |
Quadratic twists by: -4 5 |