Atkin-Lehner |
2- 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850cg |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
396 |
Product of Tamagawa factors cp |
deg |
1203840 |
Modular degree for the optimal curve |
Δ |
-191229271200000000 = -1 · 211 · 34 · 58 · 112 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2349888,1385677281] |
[a1,a2,a3,a4,a6] |
Generators |
[-415:-47643:1] [-1691:23813:1] |
Generators of the group modulo torsion |
j |
-3673712614032466465/489546934272 |
j-invariant |
L |
11.13429147452 |
L(r)(E,1)/r! |
Ω |
0.30723109505889 |
Real period |
R |
0.091517096137494 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47850bf1 |
Quadratic twists by: 5 |