Atkin-Lehner |
5+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
13825a |
Isogeny class |
Conductor |
13825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
43203125 = 57 · 7 · 79 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 3 5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-133,-457] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:71:8] |
Generators of the group modulo torsion |
j |
16777216/2765 |
j-invariant |
L |
5.7077185201797 |
L(r)(E,1)/r! |
Ω |
1.4206729633024 |
Real period |
R |
2.0088080323961 |
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 |
124425c1 2765b1 96775b1 |
Quadratic twists by: -3 5 -7 |