Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
13690j |
Isogeny class |
Conductor |
13690 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
13104 |
Modular degree for the optimal curve |
Δ |
-2074746880 = -1 · 213 · 5 · 373 |
Discriminant |
Eigenvalues |
2- 0 5+ 5 -3 -2 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2218,-39703] |
[a1,a2,a3,a4,a6] |
Generators |
[65:263:1] |
Generators of the group modulo torsion |
j |
-23813300133/40960 |
j-invariant |
L |
7.2008815825721 |
L(r)(E,1)/r! |
Ω |
0.34781611525978 |
Real period |
R |
0.79627415692981 |
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 |
109520p1 123210bw1 68450o1 13690f1 |
Quadratic twists by: -4 -3 5 37 |