Atkin-Lehner |
2- 3+ 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
39390n |
Isogeny class |
Conductor |
39390 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
17819113328640 = 212 · 38 · 5 · 13 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6730,59735] |
[a1,a2,a3,a4,a6] |
Generators |
[5:159:1] |
Generators of the group modulo torsion |
j |
33711101095957921/17819113328640 |
j-invariant |
L |
7.7090107103691 |
L(r)(E,1)/r! |
Ω |
0.60584134853692 |
Real period |
R |
1.0603725888774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118170f1 |
Quadratic twists by: -3 |