Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800j |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
113664 |
Modular degree for the optimal curve |
Δ |
-23850547200 = -1 · 211 · 38 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 3 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435,-8210] |
[a1,a2,a3,a4,a6] |
j |
-243890/639 |
j-invariant |
L |
0.97185783189348 |
L(r)(E,1)/r! |
Ω |
0.48592870611405 |
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 |
42600bg1 127800br1 |
Quadratic twists by: -3 5 |