Atkin-Lehner |
5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13915d |
Isogeny class |
Conductor |
13915 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-13915 = -1 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
-2 -2 5+ 0 11- -6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4,6] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1:1] [0:2:1] |
Generators of the group modulo torsion |
j |
45056/115 |
j-invariant |
L |
2.4123982910979 |
L(r)(E,1)/r! |
Ω |
2.7734718013716 |
Real period |
R |
0.86981172475063 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235by1 69575s1 13915c1 |
Quadratic twists by: -3 5 -11 |