Atkin-Lehner |
3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11925t |
Isogeny class |
Conductor |
11925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
15092578125 = 36 · 58 · 53 |
Discriminant |
Eigenvalues |
0 3- 5- 1 1 -6 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3000,-62969] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:15:1] |
Generators of the group modulo torsion |
j |
10485760/53 |
j-invariant |
L |
3.726067327674 |
L(r)(E,1)/r! |
Ω |
0.64528470644091 |
Real period |
R |
2.8871498816586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1325f1 11925r1 |
Quadratic twists by: -3 5 |