Atkin-Lehner |
5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7225h |
Isogeny class |
Conductor |
7225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-160288544140625 = -1 · 58 · 177 |
Discriminant |
Eigenvalues |
1 1 5- -1 4 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21826,1380673] |
[a1,a2,a3,a4,a6] |
j |
-121945/17 |
j-invariant |
L |
2.2266936728206 |
L(r)(E,1)/r! |
Ω |
0.55667341820515 |
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 |
115600cw1 65025ce1 7225c1 425b1 |
Quadratic twists by: -4 -3 5 17 |