Atkin-Lehner |
3- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
34713n |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-35527998373264341 = -1 · 312 · 72 · 196 · 29 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,33484,8748276] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:2558:1] |
Generators of the group modulo torsion |
j |
5695349014881287/48735251540829 |
j-invariant |
L |
2.82193709896 |
L(r)(E,1)/r! |
Ω |
0.26830738939925 |
Real period |
R |
0.87646272225247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571f2 |
Quadratic twists by: -3 |