Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37180f |
Isogeny class |
Conductor |
37180 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-106757616087865600 = -1 · 28 · 52 · 112 · 1310 |
Discriminant |
Eigenvalues |
2- 2 5- 2 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,61460,-14605800] |
[a1,a2,a3,a4,a6] |
Generators |
[37254:1401686:27] |
Generators of the group modulo torsion |
j |
20777545136/86397025 |
j-invariant |
L |
9.8551377931457 |
L(r)(E,1)/r! |
Ω |
0.16938198601597 |
Real period |
R |
4.8485762983361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2860b2 |
Quadratic twists by: 13 |