Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10320be |
Isogeny class |
Conductor |
10320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18176409600 = 217 · 3 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8120,278868] |
[a1,a2,a3,a4,a6] |
Generators |
[6:480:1] |
Generators of the group modulo torsion |
j |
14457238157881/4437600 |
j-invariant |
L |
5.5907298912605 |
L(r)(E,1)/r! |
Ω |
1.2003839646052 |
Real period |
R |
1.16436283225 |
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 |
1290a2 41280bw2 30960bj2 51600bl2 |
Quadratic twists by: -4 8 -3 5 |