Atkin-Lehner |
5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8075g |
Isogeny class |
Conductor |
8075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8280 |
Modular degree for the optimal curve |
Δ |
-26308551875 = -1 · 54 · 17 · 195 |
Discriminant |
Eigenvalues |
2 1 5- 2 2 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,742,-431] |
[a1,a2,a3,a4,a6] |
j |
72188825600/42093683 |
j-invariant |
L |
6.3183674253848 |
L(r)(E,1)/r! |
Ω |
0.70204082504275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200cu1 72675bm1 8075d2 |
Quadratic twists by: -4 -3 5 |