Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
96480a |
Isogeny class |
Conductor |
96480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62055936000 = 212 · 33 · 53 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2268,-39808] |
[a1,a2,a3,a4,a6] |
Generators |
[-672:944:27] |
Generators of the group modulo torsion |
j |
11666192832/561125 |
j-invariant |
L |
6.6694787370326 |
L(r)(E,1)/r! |
Ω |
0.69387642209193 |
Real period |
R |
4.8059557318466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96480b2 96480v2 |
Quadratic twists by: -4 -3 |