Atkin-Lehner |
2+ 3- 5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390m |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
362855638512900 = 22 · 314 · 52 · 132 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27360,-1474484] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:554:1] |
Generators of the group modulo torsion |
j |
3107086841064961/497744360100 |
j-invariant |
L |
5.161645168688 |
L(r)(E,1)/r! |
Ω |
0.37522915072327 |
Real period |
R |
3.4389953167538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000097 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26130q2 |
Quadratic twists by: -3 |