Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800d |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
191700000000 = 28 · 33 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -3 -2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9375,-348750] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:6:1] |
Generators of the group modulo torsion |
j |
33750000/71 |
j-invariant |
L |
5.2129768507496 |
L(r)(E,1)/r! |
Ω |
0.48524562263204 |
Real period |
R |
2.6857413216821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999449005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127800bh1 127800bf1 |
Quadratic twists by: -3 5 |