Atkin-Lehner |
2+ 5- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
13430c |
Isogeny class |
Conductor |
13430 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-671500 = -1 · 22 · 53 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 2 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14,48] |
[a1,a2,a3,a4,a6] |
Generators |
[2:4:1] |
Generators of the group modulo torsion |
j |
-315821241/671500 |
j-invariant |
L |
3.2414483838303 |
L(r)(E,1)/r! |
Ω |
2.5513573152722 |
Real period |
R |
0.21174666287283 |
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 |
107440y1 120870s1 67150n1 |
Quadratic twists by: -4 -3 5 |