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 |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
1809000000 = 26 · 33 · 56 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-393,2192] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:72:1] |
Generators of the group modulo torsion |
j |
3884701248/1046875 |
j-invariant |
L |
6.6694787370326 |
L(r)(E,1)/r! |
Ω |
1.3877528441839 |
Real period |
R |
2.4029778659233 |
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 |
96480b1 96480v1 |
Quadratic twists by: -4 -3 |