Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37180d |
Isogeny class |
Conductor |
37180 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
41116689785600 = 28 · 52 · 113 · 136 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1199956,-506336700] |
[a1,a2,a3,a4,a6] |
Generators |
[2747:130130:1] |
Generators of the group modulo torsion |
j |
154639330142416/33275 |
j-invariant |
L |
4.0988927174931 |
L(r)(E,1)/r! |
Ω |
0.14424746835467 |
Real period |
R |
3.1572999468245 |
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 |
220a4 |
Quadratic twists by: 13 |