Atkin-Lehner |
2+ 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17298f |
Isogeny class |
Conductor |
17298 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
386880 |
Modular degree for the optimal curve |
Δ |
-1.5280313949253E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 -3 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,94959,-187758243] |
[a1,a2,a3,a4,a6] |
j |
152303/24576 |
j-invariant |
L |
1.2537311872483 |
L(r)(E,1)/r! |
Ω |
0.10447759893736 |
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 |
5766i1 17298j1 |
Quadratic twists by: -3 -31 |