Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
43992c |
Isogeny class |
Conductor |
43992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
34333979094844416 = 210 · 312 · 134 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116139,12353110] |
[a1,a2,a3,a4,a6] |
Generators |
[-40448940:-2648077055:592704] |
Generators of the group modulo torsion |
j |
232076130132388/45993520521 |
j-invariant |
L |
7.219317156272 |
L(r)(E,1)/r! |
Ω |
0.34868136732532 |
Real period |
R |
10.352312788686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87984e2 14664g2 |
Quadratic twists by: -4 -3 |