Atkin-Lehner |
2- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
9490i |
Isogeny class |
Conductor |
9490 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
18576 |
Modular degree for the optimal curve |
Δ |
-352357057000 = -1 · 23 · 53 · 136 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -6 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,169,28561] |
[a1,a2,a3,a4,a6] |
j |
533609071631/352357057000 |
j-invariant |
L |
1.4935066801513 |
L(r)(E,1)/r! |
Ω |
0.74675334007567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
75920j1 85410p1 47450c1 123370j1 |
Quadratic twists by: -4 -3 5 13 |