Atkin-Lehner |
2- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11024j |
Isogeny class |
Conductor |
11024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
143312 = 24 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 2 0 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:462:125] |
Generators of the group modulo torsion |
j |
16384000/8957 |
j-invariant |
L |
6.1980195482844 |
L(r)(E,1)/r! |
Ω |
2.6683108659316 |
Real period |
R |
4.6456502706783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2756a1 44096o1 99216bp1 |
Quadratic twists by: -4 8 -3 |