Atkin-Lehner |
2- 3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
70992j |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1581133824 = -1 · 212 · 33 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 1 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,192,-1616] |
[a1,a2,a3,a4,a6] |
Generators |
[9:29:1] [17:81:1] |
Generators of the group modulo torsion |
j |
7077888/14297 |
j-invariant |
L |
9.1490802468368 |
L(r)(E,1)/r! |
Ω |
0.78340414278814 |
Real period |
R |
2.919655305335 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4437a1 70992o1 |
Quadratic twists by: -4 -3 |