Atkin-Lehner |
3+ 5- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33495j |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
366267825 = 38 · 52 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1190,-16270] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:14:1] [43:98:1] |
Generators of the group modulo torsion |
j |
186374892382561/366267825 |
j-invariant |
L |
5.1819071358207 |
L(r)(E,1)/r! |
Ω |
0.81294691335867 |
Real period |
R |
6.3742257343878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485q1 |
Quadratic twists by: -3 |