Atkin-Lehner |
3+ 7- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
58149b |
Isogeny class |
Conductor |
58149 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
50944 |
Modular degree for the optimal curve |
Δ |
143664605721 = 33 · 78 · 13 · 71 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 4 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2459,-42622] |
[a1,a2,a3,a4,a6] |
j |
60879341715219/5320911323 |
j-invariant |
L |
2.7270858947989 |
L(r)(E,1)/r! |
Ω |
0.68177147336903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58149a1 |
Quadratic twists by: -3 |