Atkin-Lehner |
5+ 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
45425d |
Isogeny class |
Conductor |
45425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-141953125 = -1 · 57 · 23 · 79 |
Discriminant |
Eigenvalues |
1 -2 5+ -1 -3 -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26,573] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:83:8] [-3:26:1] |
Generators of the group modulo torsion |
j |
-117649/9085 |
j-invariant |
L |
7.1985296025077 |
L(r)(E,1)/r! |
Ω |
1.5146604924924 |
Real period |
R |
1.1881424316189 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9085a1 |
Quadratic twists by: 5 |