Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850i |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
8729555800 = 23 · 52 · 77 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -4 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-515,85] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:25:1] |
Generators of the group modulo torsion |
j |
5151505/2968 |
j-invariant |
L |
3.1674225499956 |
L(r)(E,1)/r! |
Ω |
1.1105647394958 |
Real period |
R |
0.71302069741605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999042491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850dd1 18550d1 |
Quadratic twists by: 5 -7 |