Atkin-Lehner |
2- 3- 5+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390bs |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
3853647445752000 = 26 · 36 · 53 · 133 · 673 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 6 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-120623,15875831] |
[a1,a2,a3,a4,a6] |
Generators |
[-399:802:1] |
Generators of the group modulo torsion |
j |
266246057186165161/5286210488000 |
j-invariant |
L |
10.150567761103 |
L(r)(E,1)/r! |
Ω |
0.44136407469297 |
Real period |
R |
1.9165144953164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987889 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8710h2 |
Quadratic twists by: -3 |