Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390bq |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5284829845312500 = 22 · 3 · 58 · 77 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30052926,63400471623] |
[a1,a2,a3,a4,a6] |
j |
25515010941881368798801/44920312500 |
j-invariant |
L |
4.4440853989859 |
L(r)(E,1)/r! |
Ω |
0.27775533738816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7770be5 |
Quadratic twists by: -7 |