Atkin-Lehner |
2- 3+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480m |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-477948121308000000 = -1 · 28 · 32 · 56 · 710 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,177564,-16701660] |
[a1,a2,a3,a4,a6] |
j |
2418499826265845936/1866984848859375 |
j-invariant |
L |
1.3171219322413 |
L(r)(E,1)/r! |
Ω |
0.16464024153001 |
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 |
78960t1 118440bg1 |
Quadratic twists by: -4 -3 |