Atkin-Lehner |
2+ 7+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
13286c |
Isogeny class |
Conductor |
13286 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-1302028 = -1 · 22 · 73 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 3 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-56,-196] |
[a1,a2,a3,a4,a6] |
j |
-19968681097/1302028 |
j-invariant |
L |
1.7346602874918 |
L(r)(E,1)/r! |
Ω |
0.86733014374591 |
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 |
106288v1 119574bc1 93002c1 |
Quadratic twists by: -4 -3 -7 |