Atkin-Lehner |
3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
128673c |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-229613103549099 = -1 · 33 · 17 · 298 |
Discriminant |
Eigenvalues |
0 3+ -1 4 1 -1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,10092,615822] |
[a1,a2,a3,a4,a6] |
j |
7077888/14297 |
j-invariant |
L |
3.0866726407877 |
L(r)(E,1)/r! |
Ω |
0.3858342253944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128673a1 4437a1 |
Quadratic twists by: -3 29 |