Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078di |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.1266310056604E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2069662,-1026134578] |
[a1,a2,a3,a4,a6] |
Generators |
[102214:11426359:8] |
Generators of the group modulo torsion |
j |
203124303447538537/23341114298502 |
j-invariant |
L |
15.47371354556 |
L(r)(E,1)/r! |
Ω |
0.12681312948757 |
Real period |
R |
2.5420793060371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998457 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006j2 |
Quadratic twists by: 13 |