Atkin-Lehner |
2- 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
71638v |
Isogeny class |
Conductor |
71638 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1949184 |
Modular degree for the optimal curve |
Δ |
-1348018027473152 = -1 · 28 · 72 · 17 · 436 |
Discriminant |
Eigenvalues |
2- -1 4 7- 3 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6019581,5682060691] |
[a1,a2,a3,a4,a6] |
j |
-492296133470386148731681/27510571989248 |
j-invariant |
L |
5.7943293409846 |
L(r)(E,1)/r! |
Ω |
0.36214558379122 |
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 |
71638k1 |
Quadratic twists by: -7 |