Atkin-Lehner |
3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565q |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
26611200 |
Modular degree for the optimal curve |
Δ |
-7.7372680049142E+23 |
Discriminant |
Eigenvalues |
1 3+ 5- 3 11- 5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-569162424,-5226426633807] |
[a1,a2,a3,a4,a6] |
j |
-426297217929651309023523/16175874365234375 |
j-invariant |
L |
5.4400410439875 |
L(r)(E,1)/r! |
Ω |
0.015454662137516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565g1 8415j1 |
Quadratic twists by: -3 -11 |