Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17248q |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-4575288087713728 = -1 · 26 · 79 · 116 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-304241,64673336] |
[a1,a2,a3,a4,a6] |
Generators |
[331:484:1] |
Generators of the group modulo torsion |
j |
-1205909169984/1771561 |
j-invariant |
L |
3.7632991130468 |
L(r)(E,1)/r! |
Ω |
0.43452712139784 |
Real period |
R |
1.4434461923192 |
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 |
17248e1 34496cg1 17248p1 |
Quadratic twists by: -4 8 -7 |