Atkin-Lehner |
2+ 3+ 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478t |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-78114624 = -1 · 26 · 3 · 72 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 0 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1313,17781] |
[a1,a2,a3,a4,a6] |
Generators |
[10:71:1] |
Generators of the group modulo torsion |
j |
-5114916263401/1594176 |
j-invariant |
L |
3.5948787854901 |
L(r)(E,1)/r! |
Ω |
1.8908582373978 |
Real period |
R |
0.47529723788021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999879196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478x1 |
Quadratic twists by: -7 |