Atkin-Lehner |
2- 3+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7068d |
Isogeny class |
Conductor |
7068 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
169169243904 = 28 · 310 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59604,5620824] |
[a1,a2,a3,a4,a6] |
Generators |
[1226:1995:8] |
Generators of the group modulo torsion |
j |
91478124333020752/660817359 |
j-invariant |
L |
3.3830570590214 |
L(r)(E,1)/r! |
Ω |
0.91160419316429 |
Real period |
R |
3.7111030032435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28272g2 113088h2 21204e2 |
Quadratic twists by: -4 8 -3 |