Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664v |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-8579636556490944 = -1 · 26 · 37 · 711 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 4 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42719,5618697] |
[a1,a2,a3,a4,a6] |
j |
-134715366791699968/134056821195171 |
j-invariant |
L |
4.1360600547334 |
L(r)(E,1)/r! |
Ω |
0.37600545952475 |
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 |
41664bu1 20832s1 124992cw1 |
Quadratic twists by: -4 8 -3 |