Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
14640m |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-14288640 = -1 · 28 · 3 · 5 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60,60] |
[a1,a2,a3,a4,a6] |
Generators |
[154:747:8] |
Generators of the group modulo torsion |
j |
91765424/55815 |
j-invariant |
L |
6.2486080643909 |
L(r)(E,1)/r! |
Ω |
1.3686570556635 |
Real period |
R |
4.565503124785 |
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 |
7320m2 58560cm2 43920d2 73200h2 |
Quadratic twists by: -4 8 -3 5 |