Atkin-Lehner |
2+ 5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47150b |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-419280903500000000 = -1 · 28 · 59 · 233 · 413 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 0 7 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-389275,-98699875] |
[a1,a2,a3,a4,a6] |
j |
-417517774988138929/26833977824000 |
j-invariant |
L |
2.2851043680481 |
L(r)(E,1)/r! |
Ω |
0.095212682003512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9430g2 |
Quadratic twists by: 5 |