Atkin-Lehner |
2- 3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390bs |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
4960617187500 = 22 · 36 · 59 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 6 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13748,-607669] |
[a1,a2,a3,a4,a6] |
Generators |
[-9255:6347:125] |
Generators of the group modulo torsion |
j |
394171426055161/6804687500 |
j-invariant |
L |
10.150567761103 |
L(r)(E,1)/r! |
Ω |
0.44136407469297 |
Real period |
R |
5.7495434859492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710h1 |
Quadratic twists by: -3 |