Atkin-Lehner |
2+ 5- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550w |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3912480 |
Modular degree for the optimal curve |
Δ |
-7.6602873853034E+19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 11+ -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7038950,-7203288500] |
[a1,a2,a3,a4,a6] |
j |
-98738702205162307465/196103357063768 |
j-invariant |
L |
0.41704555421798 |
L(r)(E,1)/r! |
Ω |
0.046338384955494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88550bu1 |
Quadratic twists by: 5 |