Atkin-Lehner |
2- 3+ 5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
30810bc |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
45402624993609000 = 23 · 316 · 53 · 132 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-890535,-323671563] |
[a1,a2,a3,a4,a6] |
Generators |
[-555:356:1] |
Generators of the group modulo torsion |
j |
78104619539951782656241/45402624993609000 |
j-invariant |
L |
7.1395685651769 |
L(r)(E,1)/r! |
Ω |
0.15541822939944 |
Real period |
R |
2.5520989371586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92430j2 |
Quadratic twists by: -3 |