Atkin-Lehner |
2- 3- 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37740k |
Isogeny class |
Conductor |
37740 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
25536 |
Modular degree for the optimal curve |
Δ |
-29933556480 = -1 · 28 · 37 · 5 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,675,5103] |
[a1,a2,a3,a4,a6] |
Generators |
[18:153:1] |
Generators of the group modulo torsion |
j |
132663517184/116927955 |
j-invariant |
L |
7.6552245771584 |
L(r)(E,1)/r! |
Ω |
0.76591600388892 |
Real period |
R |
0.71391869700459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113220c1 |
Quadratic twists by: -3 |