Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304im |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
499501888704 = 26 · 36 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5504,151626] |
[a1,a2,a3,a4,a6] |
Generators |
[25:174:1] |
Generators of the group modulo torsion |
j |
2449456192/66339 |
j-invariant |
L |
8.2772132663823 |
L(r)(E,1)/r! |
Ω |
0.92744738566088 |
Real period |
R |
2.9749084707711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304gf1 61152be2 17472cd1 |
Quadratic twists by: -4 8 -7 |