Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640cr |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-588355590060000000 = -1 · 28 · 36 · 57 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -1 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,94668,35160244] |
[a1,a2,a3,a4,a6] |
Generators |
[588:17150:1] |
Generators of the group modulo torsion |
j |
12459008/78125 |
j-invariant |
L |
5.1254187616831 |
L(r)(E,1)/r! |
Ω |
0.21033415947991 |
Real period |
R |
0.87028502889277 |
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 |
35280ci1 1960c1 88200co1 17640cf1 |
Quadratic twists by: -4 -3 5 -7 |