Atkin-Lehner |
2- 3- 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37740h |
Isogeny class |
Conductor |
37740 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
154325961158400 = 28 · 33 · 52 · 176 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13516,-97180] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:714:1] |
Generators of the group modulo torsion |
j |
1066744537426384/602835785775 |
j-invariant |
L |
4.6874768626401 |
L(r)(E,1)/r! |
Ω |
0.47724869123413 |
Real period |
R |
3.2739582449278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
113220m2 |
Quadratic twists by: -3 |