Atkin-Lehner |
5+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55825j |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-199621015915234375 = -1 · 58 · 73 · 116 · 292 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11+ 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-317192,-71961909] |
[a1,a2,a3,a4,a6] |
j |
-225876542934987729/12775745018575 |
j-invariant |
L |
2.4061707136619 |
L(r)(E,1)/r! |
Ω |
0.10025711306156 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11165a1 |
Quadratic twists by: 5 |