Atkin-Lehner |
3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11925g |
Isogeny class |
Conductor |
11925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-21597479296875 = -1 · 39 · 58 · 532 |
Discriminant |
Eigenvalues |
-2 3+ 5- -3 -2 -3 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10125,451406] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:715:1] [75:337:1] |
Generators of the group modulo torsion |
j |
-14929920/2809 |
j-invariant |
L |
3.2029661358856 |
L(r)(E,1)/r! |
Ω |
0.65265608540984 |
Real period |
R |
0.408965534259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11925h1 11925e1 |
Quadratic twists by: -3 5 |