Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400cc |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
-25320211200 = -1 · 28 · 310 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 -2 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21173,-1178823] |
[a1,a2,a3,a4,a6] |
Generators |
[67645:1508058:125] |
Generators of the group modulo torsion |
j |
-164025527173120/3956283 |
j-invariant |
L |
4.9208576432876 |
L(r)(E,1)/r! |
Ω |
0.19788898540419 |
Real period |
R |
6.2166896650485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20100g1 80400dm1 |
Quadratic twists by: -4 5 |