Atkin-Lehner |
2+ 3+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966f |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
7993178435088 = 24 · 39 · 74 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15972,-760960] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:136:1] |
Generators of the group modulo torsion |
j |
22894207729875/406095536 |
j-invariant |
L |
4.7955621396628 |
L(r)(E,1)/r! |
Ω |
0.42513410143625 |
Real period |
R |
1.4100145470166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42966x1 |
Quadratic twists by: -3 |