Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44640n |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12452004452851200 = -1 · 29 · 322 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,54717,-2134118] |
[a1,a2,a3,a4,a6] |
Generators |
[6333030:-10291694:166375] |
Generators of the group modulo torsion |
j |
48539249487352/33361208775 |
j-invariant |
L |
6.1202048809113 |
L(r)(E,1)/r! |
Ω |
0.22654191617476 |
Real period |
R |
13.507886276081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640j2 89280fr3 14880r4 |
Quadratic twists by: -4 8 -3 |