Atkin-Lehner |
2+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
70886a |
Isogeny class |
Conductor |
70886 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
238464 |
Modular degree for the optimal curve |
Δ |
-482708913272084 = -1 · 22 · 239 · 67 |
Discriminant |
Eigenvalues |
2+ 1 -1 2 2 -6 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11914,-1170560] |
[a1,a2,a3,a4,a6] |
j |
-103823/268 |
j-invariant |
L |
0.85018038842367 |
L(r)(E,1)/r! |
Ω |
0.21254509374168 |
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 |
70886b1 |
Quadratic twists by: -23 |