Atkin-Lehner |
3- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
34713m |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13943483127 = 38 · 7 · 192 · 292 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 2 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2921,-59758] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:28:1] |
Generators of the group modulo torsion |
j |
3779648905033/19126863 |
j-invariant |
L |
3.1813740761406 |
L(r)(E,1)/r! |
Ω |
0.64962177022256 |
Real period |
R |
1.2243178346112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571h2 |
Quadratic twists by: -3 |