Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22848b |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
7836864 = 26 · 3 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84,294] |
[a1,a2,a3,a4,a6] |
Generators |
[23:100:1] |
Generators of the group modulo torsion |
j |
1036433728/122451 |
j-invariant |
L |
3.5915994143802 |
L(r)(E,1)/r! |
Ω |
2.2609704505856 |
Real period |
R |
3.1770423301639 |
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 |
22848bh1 11424r3 68544bl1 |
Quadratic twists by: -4 8 -3 |