Atkin-Lehner |
3+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29913b |
Isogeny class |
Conductor |
29913 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
12182876901 = 33 · 133 · 593 |
Discriminant |
Eigenvalues |
0 3+ 3 0 6 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-589,1653] |
[a1,a2,a3,a4,a6] |
j |
10303307776/5545233 |
j-invariant |
L |
2.2156460417349 |
L(r)(E,1)/r! |
Ω |
1.1078230208674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89739j1 29913e1 |
Quadratic twists by: -3 13 |