Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38080bg |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
-3046400000000 = -1 · 216 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -6 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6508,218832] |
[a1,a2,a3,a4,a6] |
Generators |
[34:192:1] |
Generators of the group modulo torsion |
j |
-465142919364/46484375 |
j-invariant |
L |
3.6843077401611 |
L(r)(E,1)/r! |
Ω |
0.78072778992928 |
Real period |
R |
2.3595341344863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38080b1 9520d1 |
Quadratic twists by: -4 8 |