Atkin-Lehner |
2- 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
126412f |
Isogeny class |
Conductor |
126412 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-3928173007616 = -1 · 28 · 11 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 3 -3 2 11- 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83824,-9341644] |
[a1,a2,a3,a4,a6] |
Generators |
[193423499979060:2805137163347077:434142013248] |
Generators of the group modulo torsion |
j |
-52714340352/3179 |
j-invariant |
L |
11.391934114471 |
L(r)(E,1)/r! |
Ω |
0.14028973419135 |
Real period |
R |
20.300726528808 |
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 |
748a1 |
Quadratic twists by: 13 |