Atkin-Lehner |
2+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
11024b |
Isogeny class |
Conductor |
11024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
24219728 = 24 · 134 · 53 |
Discriminant |
Eigenvalues |
2+ 0 2 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74,63] |
[a1,a2,a3,a4,a6] |
Generators |
[162:663:8] |
Generators of the group modulo torsion |
j |
2800908288/1513733 |
j-invariant |
L |
4.8724641960665 |
L(r)(E,1)/r! |
Ω |
1.8586192831381 |
Real period |
R |
2.621550438151 |
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 |
5512b1 44096k1 99216p1 |
Quadratic twists by: -4 8 -3 |