Atkin-Lehner |
2+ 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10374f |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
172347162624 = 216 · 32 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5832,169750] |
[a1,a2,a3,a4,a6] |
Generators |
[14:294:1] |
Generators of the group modulo torsion |
j |
21931543957301497/172347162624 |
j-invariant |
L |
3.5677360890688 |
L(r)(E,1)/r! |
Ω |
1.0219880005765 |
Real period |
R |
3.4909764958653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992bm1 31122bb1 72618o1 |
Quadratic twists by: -4 -3 -7 |