Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200i |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
627200 = 29 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -6 4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,70] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:8:1] [1:6:1] |
Generators of the group modulo torsion |
j |
7560 |
j-invariant |
L |
8.4880068800667 |
L(r)(E,1)/r! |
Ω |
2.7802386472707 |
Real period |
R |
1.5264889020227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200h1 78400hb1 39200cq1 39200b1 |
Quadratic twists by: -4 8 5 -7 |