Atkin-Lehner |
2+ 3- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78120j |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-830323418400000000 = -1 · 211 · 314 · 58 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68547,-44381986] |
[a1,a2,a3,a4,a6] |
Generators |
[61986:2945150:27] |
Generators of the group modulo torsion |
j |
-23857865652098/556147265625 |
j-invariant |
L |
7.4391082082477 |
L(r)(E,1)/r! |
Ω |
0.12201684423003 |
Real period |
R |
7.6209848883154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040i3 |
Quadratic twists by: -3 |