Atkin-Lehner |
2- 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15264h |
Isogeny class |
Conductor |
15264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-732672 = -1 · 29 · 33 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 -5 -3 -6 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] [6:18:1] |
Generators of the group modulo torsion |
j |
74088/53 |
j-invariant |
L |
6.6270178118322 |
L(r)(E,1)/r! |
Ω |
1.6039407626901 |
Real period |
R |
1.032927456859 |
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 |
15264g1 30528bh1 15264b1 |
Quadratic twists by: -4 8 -3 |