Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440fs |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
19651507200 = 210 · 310 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3792,89624] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:405:1] |
Generators of the group modulo torsion |
j |
8077950976/26325 |
j-invariant |
L |
7.3195628316906 |
L(r)(E,1)/r! |
Ω |
1.2233465588842 |
Real period |
R |
1.4958072956787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440cr1 9360bi1 12480bu1 |
Quadratic twists by: -4 8 -3 |