Atkin-Lehner |
2+ 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
84816f |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-9457254119282688 = -1 · 211 · 36 · 193 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 -2 -5 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35565,-3902222] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1364:1] [303:5890:1] |
Generators of the group modulo torsion |
j |
3332227702750/6334430539 |
j-invariant |
L |
11.00760959885 |
L(r)(E,1)/r! |
Ω |
0.2140615647456 |
Real period |
R |
1.0713048848922 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42408b1 9424b1 |
Quadratic twists by: -4 -3 |