Atkin-Lehner |
3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
26979m |
Isogeny class |
Conductor |
26979 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
39744 |
Modular degree for the optimal curve |
Δ |
1176580278693 = 39 · 173 · 233 |
Discriminant |
Eigenvalues |
0 3- 0 -3 0 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7973,266363] |
[a1,a2,a3,a4,a6] |
Generators |
[-742:3719:8] [61:103:1] |
Generators of the group modulo torsion |
j |
4607442944000/96702579 |
j-invariant |
L |
7.5081838838302 |
L(r)(E,1)/r! |
Ω |
0.86597095236592 |
Real period |
R |
0.16056016880624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80937f1 26979g1 |
Quadratic twists by: -3 -23 |