Atkin-Lehner |
2- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
38710bd |
Isogeny class |
Conductor |
38710 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-255034796240000 = -1 · 27 · 54 · 79 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 1 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81341,-8968975] |
[a1,a2,a3,a4,a6] |
j |
-1474925918887/6320000 |
j-invariant |
L |
3.9567520064111 |
L(r)(E,1)/r! |
Ω |
0.14131257165806 |
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 |
38710bj1 |
Quadratic twists by: -7 |