Atkin-Lehner |
2+ 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218k |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2534400 |
Modular degree for the optimal curve |
Δ |
-4.8028786899423E+22 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -6 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2456929,-10439168974] |
[a1,a2,a3,a4,a6] |
Generators |
[2679:122644:1] |
Generators of the group modulo torsion |
j |
11079872671250375/324440155855872 |
j-invariant |
L |
4.1771356916224 |
L(r)(E,1)/r! |
Ω |
0.054597875087022 |
Real period |
R |
3.1878039247289 |
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 |
66654bl1 966f1 |
Quadratic twists by: -3 -23 |