Atkin-Lehner |
3- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34713h |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4022178973263801 = 38 · 74 · 192 · 294 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124236,16607227] |
[a1,a2,a3,a4,a6] |
Generators |
[1806:427:8] |
Generators of the group modulo torsion |
j |
290897862659441857/5517392281569 |
j-invariant |
L |
8.8647352338738 |
L(r)(E,1)/r! |
Ω |
0.43997627619432 |
Real period |
R |
5.0370529693965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11571e2 |
Quadratic twists by: -3 |