Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17556c |
Isogeny class |
Conductor |
17556 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-17665479216 = -1 · 24 · 34 · 72 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,231,6174] |
[a1,a2,a3,a4,a6] |
Generators |
[30:198:1] |
Generators of the group modulo torsion |
j |
84831715328/1104092451 |
j-invariant |
L |
3.3975086186801 |
L(r)(E,1)/r! |
Ω |
0.90944271936699 |
Real period |
R |
0.93395343827836 |
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 |
70224cu1 52668m1 122892bi1 |
Quadratic twists by: -4 -3 -7 |