Atkin-Lehner |
7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5929g |
Isogeny class |
Conductor |
5929 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-8650154040833767 = -1 · 79 · 118 |
Discriminant |
Eigenvalues |
-1 -2 2 7- 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,20628,4328743] |
[a1,a2,a3,a4,a6] |
Generators |
[153:3251:1] |
Generators of the group modulo torsion |
j |
4657463/41503 |
j-invariant |
L |
2.0483058150463 |
L(r)(E,1)/r! |
Ω |
0.3021795578226 |
Real period |
R |
3.3892196907786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94864cs1 53361bk1 847c1 539c1 |
Quadratic twists by: -4 -3 -7 -11 |