Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400bm |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
244224 |
Modular degree for the optimal curve |
Δ |
-1082419200 = -1 · 211 · 36 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42555,3378890] |
[a1,a2,a3,a4,a6] |
Generators |
[121:36:1] |
Generators of the group modulo torsion |
j |
-228337902530/29 |
j-invariant |
L |
2.4748661510222 |
L(r)(E,1)/r! |
Ω |
1.2054947163551 |
Real period |
R |
0.25662349520086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52200bx1 11600c1 104400cg1 |
Quadratic twists by: -4 -3 5 |