Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218r |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2000462128028676 = -1 · 22 · 36 · 138 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20502,1826280] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:372:1] [-29:1113:1] |
Generators of the group modulo torsion |
j |
270840023/568516 |
j-invariant |
L |
6.9405376957103 |
L(r)(E,1)/r! |
Ω |
0.32281049720379 |
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 |
9802g2 6786o2 |
Quadratic twists by: -3 13 |