Atkin-Lehner |
7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29939c |
Isogeny class |
Conductor |
29939 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20880 |
Modular degree for the optimal curve |
Δ |
-71883539 = -1 · 76 · 13 · 47 |
Discriminant |
Eigenvalues |
2 -3 2 7- -3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-49,-429] |
[a1,a2,a3,a4,a6] |
Generators |
[1540:7073:64] |
Generators of the group modulo torsion |
j |
-110592/611 |
j-invariant |
L |
6.8221278765759 |
L(r)(E,1)/r! |
Ω |
0.81049179690061 |
Real period |
R |
4.2086347466219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
611a1 |
Quadratic twists by: -7 |