Atkin-Lehner |
2+ 3- 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
74646n |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
445440 |
Modular degree for the optimal curve |
Δ |
-346392571468086 = -1 · 2 · 310 · 11 · 13 · 295 |
Discriminant |
Eigenvalues |
2+ 3- 1 -5 11+ 13- -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6921,865867] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-1201:1] [46:7591:8] |
Generators of the group modulo torsion |
j |
50288355526031/475161277734 |
j-invariant |
L |
7.2494376094119 |
L(r)(E,1)/r! |
Ω |
0.39576172648343 |
Real period |
R |
0.91588411971166 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24882bb1 |
Quadratic twists by: -3 |