Atkin-Lehner |
2- 5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550bw |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-48568644278000000 = -1 · 27 · 56 · 73 · 11 · 235 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44280,11204347] |
[a1,a2,a3,a4,a6] |
j |
-614493548699913/3108393233792 |
j-invariant |
L |
13.01115900529 |
L(r)(E,1)/r! |
Ω |
0.309789499988 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542b1 |
Quadratic twists by: 5 |