Atkin-Lehner |
3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
69819c |
Isogeny class |
Conductor |
69819 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3.3573055229784E+20 |
Discriminant |
Eigenvalues |
0 3- -3 2 3 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-628827,-902424430] |
[a1,a2,a3,a4,a6] |
j |
-10717848174592/130852046859 |
j-invariant |
L |
1.3127007896419 |
L(r)(E,1)/r! |
Ω |
0.072927821871888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1887c2 |
Quadratic twists by: 37 |