Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28420i |
Isogeny class |
Conductor |
28420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-4389168736926874880 = -1 · 28 · 5 · 78 · 296 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 -6 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-334327,-125284866] |
[a1,a2,a3,a4,a6] |
Generators |
[35232400:-3259920363:4096] |
Generators of the group modulo torsion |
j |
-137217613147344/145731713645 |
j-invariant |
L |
4.6932356801212 |
L(r)(E,1)/r! |
Ω |
0.09525968417637 |
Real period |
R |
8.2113010708564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113680bs2 4060b2 |
Quadratic twists by: -4 -7 |