Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22218i |
Isogeny class |
Conductor |
22218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
158976 |
Modular degree for the optimal curve |
Δ |
7262247531018816 = 26 · 32 · 7 · 239 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48414,-57420] |
[a1,a2,a3,a4,a6] |
Generators |
[1188:39666:1] |
Generators of the group modulo torsion |
j |
6967871/4032 |
j-invariant |
L |
3.9343657321805 |
L(r)(E,1)/r! |
Ω |
0.35311003840463 |
Real period |
R |
5.5710193767872 |
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 |
66654bz1 22218b1 |
Quadratic twists by: -3 -23 |