Atkin-Lehner |
3- 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34713d |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
-10459965782511 = -1 · 318 · 72 · 19 · 29 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ -2 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15206,-734484] |
[a1,a2,a3,a4,a6] |
Generators |
[2838:48165:8] |
Generators of the group modulo torsion |
j |
-533352538299673/14348375559 |
j-invariant |
L |
2.7762945286708 |
L(r)(E,1)/r! |
Ω |
0.21462419301694 |
Real period |
R |
6.4678042341009 |
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 |
11571a1 |
Quadratic twists by: -3 |