Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218s |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.3440032790524E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34194393,76768894125] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:286788:1] [25350:107385:8] |
Generators of the group modulo torsion |
j |
1256610758033695897/3819554279424 |
j-invariant |
L |
5.715418266535 |
L(r)(E,1)/r! |
Ω |
0.1262310891713 |
Real period |
R |
11.319355446382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994395 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29406ba2 6786p2 |
Quadratic twists by: -3 13 |