Atkin-Lehner |
7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29939d |
Isogeny class |
Conductor |
29939 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-6541402049 = -1 · 77 · 132 · 47 |
Discriminant |
Eigenvalues |
-1 -1 3 7- -1 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-344,4458] |
[a1,a2,a3,a4,a6] |
Generators |
[48:294:1] |
Generators of the group modulo torsion |
j |
-38272753/55601 |
j-invariant |
L |
2.9782124912904 |
L(r)(E,1)/r! |
Ω |
1.2012085567559 |
Real period |
R |
0.30991833959016 |
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 |
4277b1 |
Quadratic twists by: -7 |