Atkin-Lehner |
3- 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34713d |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1129422133287 = 312 · 7 · 192 · 292 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -2 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-244841,-46569630] |
[a1,a2,a3,a4,a6] |
Generators |
[1439:50067:1] |
Generators of the group modulo torsion |
j |
2226624353039773513/1549275903 |
j-invariant |
L |
2.7762945286708 |
L(r)(E,1)/r! |
Ω |
0.21462419301694 |
Real period |
R |
3.2339021170505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571a2 |
Quadratic twists by: -3 |