Atkin-Lehner |
2- 3- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37740g |
Isogeny class |
Conductor |
37740 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
848300850000 = 24 · 36 · 55 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18041,-937680] |
[a1,a2,a3,a4,a6] |
j |
40589118673567744/53018803125 |
j-invariant |
L |
3.7077374365206 |
L(r)(E,1)/r! |
Ω |
0.41197082628132 |
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 |
113220j1 |
Quadratic twists by: -3 |