Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640cd |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-114307200000 = -1 · 210 · 36 · 55 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,-16058] |
[a1,a2,a3,a4,a6] |
j |
137564/3125 |
j-invariant |
L |
1.0204133803486 |
L(r)(E,1)/r! |
Ω |
0.51020669017429 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35280bj1 1960e1 88200cg1 17640cl1 |
Quadratic twists by: -4 -3 5 -7 |