Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cw |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
167650560 = 28 · 35 · 5 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-401,-3165] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:6:1] |
Generators of the group modulo torsion |
j |
569906176/13365 |
j-invariant |
L |
7.3158288648024 |
L(r)(E,1)/r! |
Ω |
1.0681779536722 |
Real period |
R |
0.68488858431193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360m1 64680bp1 |
Quadratic twists by: -4 -7 |