Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360k |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3153945600 = -1 · 210 · 36 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-2702] |
[a1,a2,a3,a4,a6] |
Generators |
[27:130:1] |
Generators of the group modulo torsion |
j |
-4/4225 |
j-invariant |
L |
4.2228705810581 |
L(r)(E,1)/r! |
Ω |
0.64972344997797 |
Real period |
R |
1.624872313444 |
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 |
4680e2 37440ev2 1040b2 46800m2 |
Quadratic twists by: -4 8 -3 5 |