Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113256bu |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-34384043206656 = -1 · 211 · 36 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 11- 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17787,-955658] |
[a1,a2,a3,a4,a6] |
Generators |
[106902114:1729477684:328509] |
Generators of the group modulo torsion |
j |
-235298/13 |
j-invariant |
L |
4.9736310774442 |
L(r)(E,1)/r! |
Ω |
0.20604025407671 |
Real period |
R |
12.069561617983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999853565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12584c1 936b1 |
Quadratic twists by: -3 -11 |