Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37180d |
Isogeny class |
Conductor |
37180 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
212379596000000 = 28 · 56 · 11 · 136 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16956,-485900] |
[a1,a2,a3,a4,a6] |
Generators |
[-62590:578011:1000] |
Generators of the group modulo torsion |
j |
436334416/171875 |
j-invariant |
L |
4.0988927174931 |
L(r)(E,1)/r! |
Ω |
0.43274240506402 |
Real period |
R |
9.4718998404735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
220a2 |
Quadratic twists by: 13 |