Atkin-Lehner |
2- 3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
43290bi |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-28490231250 = -1 · 2 · 36 · 55 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-668,10657] |
[a1,a2,a3,a4,a6] |
j |
-45156047481/39081250 |
j-invariant |
L |
4.3234917654031 |
L(r)(E,1)/r! |
Ω |
1.0808729413957 |
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 |
4810c1 |
Quadratic twists by: -3 |