Atkin-Lehner |
5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
46475i |
Isogeny class |
Conductor |
46475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-142783544921875 = -1 · 511 · 113 · 133 |
Discriminant |
Eigenvalues |
2 2 5+ 4 11- 13- -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-30008,2091793] |
[a1,a2,a3,a4,a6] |
Generators |
[746:2471:8] |
Generators of the group modulo torsion |
j |
-87056109568/4159375 |
j-invariant |
L |
19.227085163313 |
L(r)(E,1)/r! |
Ω |
0.57475288063712 |
Real period |
R |
2.7877321731142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9295e1 46475b1 |
Quadratic twists by: 5 13 |