Atkin-Lehner |
2- 3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630y |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-19386574020 = -1 · 22 · 39 · 5 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-100982,-12326039] |
[a1,a2,a3,a4,a6] |
j |
-5785758357128667/984940 |
j-invariant |
L |
4.8207143624084 |
L(r)(E,1)/r! |
Ω |
0.13390873228902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36630c1 |
Quadratic twists by: -3 |