Atkin-Lehner |
2- 3- 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520ci |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2.1462922633409E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20150616,78609011220] |
[a1,a2,a3,a4,a6] |
j |
-220916811606273382713049/523997134604704080000 |
j-invariant |
L |
1.1678434229182 |
L(r)(E,1)/r! |
Ω |
0.072990212829408 |
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 |
9690a2 |
Quadratic twists by: -4 |