Atkin-Lehner |
2+ 3+ 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430h |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-41832000 = -1 · 26 · 32 · 53 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -4 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-457,3589] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:71:1] [1012:-2111:64] |
Generators of the group modulo torsion |
j |
-10591472326681/41832000 |
j-invariant |
L |
4.7370926693629 |
L(r)(E,1)/r! |
Ω |
2.0441052328209 |
Real period |
R |
0.19312005864884 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52290ca1 87150cu1 122010v1 |
Quadratic twists by: -3 5 -7 |