Atkin-Lehner |
2- 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
13130i |
Isogeny class |
Conductor |
13130 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-33612800 = -1 · 210 · 52 · 13 · 101 |
Discriminant |
Eigenvalues |
2- -1 5- -4 0 13+ -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,25,285] |
[a1,a2,a3,a4,a6] |
Generators |
[3:18:1] |
Generators of the group modulo torsion |
j |
1723683599/33612800 |
j-invariant |
L |
5.1727402007766 |
L(r)(E,1)/r! |
Ω |
1.5470898484194 |
Real period |
R |
0.16717646379948 |
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 |
105040t1 118170g1 65650e1 |
Quadratic twists by: -4 -3 5 |