Atkin-Lehner |
3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4785a |
Isogeny class |
Conductor |
4785 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-25491156205618125 = -1 · 38 · 54 · 118 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,71960,1980230] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:1218:1] |
Generators of the group modulo torsion |
j |
41209448166161735039/25491156205618125 |
j-invariant |
L |
2.0791178087652 |
L(r)(E,1)/r! |
Ω |
0.23301163649844 |
Real period |
R |
2.2307016937103 |
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 |
76560cj5 14355d6 23925s5 52635d5 |
Quadratic twists by: -4 -3 5 -11 |