Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218r |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
21225062366352 = 24 · 36 · 137 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9918,311364] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:801:1] [270:819:8] |
Generators of the group modulo torsion |
j |
30664297/6032 |
j-invariant |
L |
6.9405376957103 |
L(r)(E,1)/r! |
Ω |
0.64562099440757 |
Real period |
R |
2.6875433712723 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9802g1 6786o1 |
Quadratic twists by: -3 13 |