Atkin-Lehner |
2+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
110894d |
Isogeny class |
Conductor |
110894 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16727040 |
Modular degree for the optimal curve |
Δ |
-1.1557875121878E+23 |
Discriminant |
Eigenvalues |
2+ 2 -4 7+ 0 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3742508,16119178320] |
[a1,a2,a3,a4,a6] |
Generators |
[-5825442171925431837967989243:5061718086943953913940082272441:40531016452216730159262213] |
Generators of the group modulo torsion |
j |
11664649752839/232561573888 |
j-invariant |
L |
3.3857613114974 |
L(r)(E,1)/r! |
Ω |
0.07852745242975 |
Real period |
R |
43.115639047712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050801 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1246g1 |
Quadratic twists by: 89 |