Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880bc |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1339278937113600 = -1 · 210 · 312 · 52 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9960,1721988] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:798:1] |
Generators of the group modulo torsion |
j |
106698463673756/1307889587025 |
j-invariant |
L |
8.8666860670375 |
L(r)(E,1)/r! |
Ω |
0.35602572311405 |
Real period |
R |
2.0753851690086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000676 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34440g3 |
Quadratic twists by: -4 |