Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17248r |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-5300793344 = -1 · 212 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ -1 -1 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2221,41189] |
[a1,a2,a3,a4,a6] |
Generators |
[47:196:1] |
Generators of the group modulo torsion |
j |
-2515456/11 |
j-invariant |
L |
3.706416352657 |
L(r)(E,1)/r! |
Ω |
1.3657914497217 |
Real period |
R |
0.67843746448482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17248f1 34496ck1 352a1 |
Quadratic twists by: -4 8 -7 |