Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440em |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-6707714457600 = -1 · 220 · 39 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13- -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2292,-117232] |
[a1,a2,a3,a4,a6] |
Generators |
[37:135:1] [64:540:1] |
Generators of the group modulo torsion |
j |
6967871/35100 |
j-invariant |
L |
7.8312320810293 |
L(r)(E,1)/r! |
Ω |
0.37694328428001 |
Real period |
R |
2.5969530455977 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440bs1 9360bw1 12480ch1 |
Quadratic twists by: -4 8 -3 |