Atkin-Lehner |
2- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
17200bc |
Isogeny class |
Conductor |
17200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-7045120000 = -1 · 218 · 54 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -5 -7 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,325,-3350] |
[a1,a2,a3,a4,a6] |
Generators |
[15:70:1] [45:320:1] |
Generators of the group modulo torsion |
j |
1482975/2752 |
j-invariant |
L |
6.889403927865 |
L(r)(E,1)/r! |
Ω |
0.69457207730707 |
Real period |
R |
0.82657655374604 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2150p1 68800dw1 17200k1 |
Quadratic twists by: -4 8 5 |