Atkin-Lehner |
2- 3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12648g |
Isogeny class |
Conductor |
12648 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-5929840097198064 = -1 · 24 · 316 · 172 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 4 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,34884,2738853] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:837:1] |
Generators of the group modulo torsion |
j |
293406758350451456/370615006074879 |
j-invariant |
L |
5.388959083534 |
L(r)(E,1)/r! |
Ω |
0.28579213932281 |
Real period |
R |
0.098209472427219 |
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 |
25296d1 101184j1 37944e1 |
Quadratic twists by: -4 8 -3 |