Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10320f |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
34506777600 = 210 · 36 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15480,-736128] |
[a1,a2,a3,a4,a6] |
Generators |
[2574:130410:1] |
Generators of the group modulo torsion |
j |
400649568576484/33698025 |
j-invariant |
L |
4.0531354511245 |
L(r)(E,1)/r! |
Ω |
0.42801271367277 |
Real period |
R |
4.7348306740057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5160m2 41280ct2 30960e2 51600u2 |
Quadratic twists by: -4 8 -3 5 |