Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26334bs |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
2304 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
3.4491299145366E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22745084,-40779184705] |
[a1,a2,a3,a4,a6] |
Generators |
[-2907:29173:1] |
Generators of the group modulo torsion |
j |
1785084590842706319691897/47313167551942397952 |
j-invariant |
L |
9.7606777419883 |
L(r)(E,1)/r! |
Ω |
0.069243691020183 |
Real period |
R |
0.97889761970671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8778j1 |
Quadratic twists by: -3 |