Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cp |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
6.1270761684748E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11+ -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2364513,-1348623585] |
[a1,a2,a3,a4,a6] |
Generators |
[-843:6804:1] |
Generators of the group modulo torsion |
j |
5577108481460841625/233729407061568 |
j-invariant |
L |
8.2164816499755 |
L(r)(E,1)/r! |
Ω |
0.12206364624867 |
Real period |
R |
3.0596860742798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144m1 19536v1 |
Quadratic twists by: -4 8 |