Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520s |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17038402617600 = 28 · 38 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-114663,14943238] |
[a1,a2,a3,a4,a6] |
Generators |
[149:1080:1] |
Generators of the group modulo torsion |
j |
893359210685776/91298025 |
j-invariant |
L |
4.3304812395694 |
L(r)(E,1)/r! |
Ω |
0.66464910364216 |
Real period |
R |
1.6288599563021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997927 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32760n2 21840s2 |
Quadratic twists by: -4 -3 |