Atkin-Lehner |
2- 3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576m |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5442009587712 = -1 · 213 · 38 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1272,110448] |
[a1,a2,a3,a4,a6] |
Generators |
[34:438:1] [322:5814:1] |
Generators of the group modulo torsion |
j |
55524368375/1328615622 |
j-invariant |
L |
7.9879386646624 |
L(r)(E,1)/r! |
Ω |
0.5717855205063 |
Real period |
R |
6.9850830234236 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322e2 |
Quadratic twists by: -4 |