Atkin-Lehner |
2- 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
122100s |
Isogeny class |
Conductor |
122100 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
175340791692000000 = 28 · 37 · 56 · 114 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-328908,69643188] |
[a1,a2,a3,a4,a6] |
j |
983758169579344/43835197923 |
j-invariant |
L |
4.4473725418542 |
L(r)(E,1)/r! |
Ω |
0.31766939973502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4884b2 |
Quadratic twists by: 5 |