Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
15582ba |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-114930837504 = -1 · 211 · 32 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -5 2 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-589,-17263] |
[a1,a2,a3,a4,a6] |
Generators |
[74:551:1] |
Generators of the group modulo torsion |
j |
-192100033/976896 |
j-invariant |
L |
10.004909733133 |
L(r)(E,1)/r! |
Ω |
0.43708210633088 |
Real period |
R |
0.52023248909787 |
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 |
124656cx1 46746m1 318d1 |
Quadratic twists by: -4 -3 -7 |