Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848r |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59392 |
Modular degree for the optimal curve |
Δ |
-8256572352 = -1 · 26 · 38 · 7 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129,4408] |
[a1,a2,a3,a4,a6] |
j |
-5088448/176967 |
j-invariant |
L |
2.1828723103897 |
L(r)(E,1)/r! |
Ω |
1.0914362384644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106848j1 35616y1 |
Quadratic twists by: -4 -3 |