Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670v |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0143259433899E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1892944,-4740612030] |
[a1,a2,a3,a4,a6] |
Generators |
[752696178:22147492307:474552] |
Generators of the group modulo torsion |
j |
31077313442863199/420227050781250 |
j-invariant |
L |
6.9911882706549 |
L(r)(E,1)/r! |
Ω |
0.063089190917474 |
Real period |
R |
13.851794913252 |
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 |
69360cb7 26010r7 43350b7 510e8 |
Quadratic twists by: -4 -3 5 17 |