Atkin-Lehner |
2- 3+ 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478bu |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
12997152 |
Modular degree for the optimal curve |
Δ |
-235073273468544 = -1 · 27 · 36 · 78 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 2 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-208433604,1158156249669] |
[a1,a2,a3,a4,a6] |
Generators |
[533428:-265639:64] |
Generators of the group modulo torsion |
j |
-173717114078793188317057/40777344 |
j-invariant |
L |
13.21266497161 |
L(r)(E,1)/r! |
Ω |
0.22758121118257 |
Real period |
R |
4.1469230799083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478cl1 |
Quadratic twists by: -7 |