Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520cq |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-2.6844439867182E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-357269043,-2716116019342] |
[a1,a2,a3,a4,a6] |
j |
-1688971789881664420008241/89901485966373558750 |
j-invariant |
L |
0.83084391095674 |
L(r)(E,1)/r! |
Ω |
0.017309248020019 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190m8 21840bk7 |
Quadratic twists by: -4 -3 |