Atkin-Lehner |
2- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11492a |
Isogeny class |
Conductor |
11492 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
13104 |
Modular degree for the optimal curve |
Δ |
-3550060097792 = -1 · 28 · 138 · 17 |
Discriminant |
Eigenvalues |
2- -1 2 -1 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-732,-90728] |
[a1,a2,a3,a4,a6] |
Generators |
[58:242:1] |
Generators of the group modulo torsion |
j |
-208/17 |
j-invariant |
L |
3.74153776497 |
L(r)(E,1)/r! |
Ω |
0.34886271719715 |
Real period |
R |
3.5749857852686 |
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 |
45968s1 103428l1 11492b1 |
Quadratic twists by: -4 -3 13 |