Atkin-Lehner |
2- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
39494q |
Isogeny class |
Conductor |
39494 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-797659781720768512 = -1 · 216 · 78 · 133 · 312 |
Discriminant |
Eigenvalues |
2- 2 2 7+ -3 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,170078,33501103] |
[a1,a2,a3,a4,a6] |
j |
94380799739807/138367270912 |
j-invariant |
L |
6.1410304423806 |
L(r)(E,1)/r! |
Ω |
0.1919072013253 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39494y1 |
Quadratic twists by: -7 |