Atkin-Lehner |
2+ 3- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31734h |
Isogeny class |
Conductor |
31734 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
410368 |
Modular degree for the optimal curve |
Δ |
-331588566 = -1 · 2 · 37 · 41 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 -2 -1 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3122316,-2122774034] |
[a1,a2,a3,a4,a6] |
j |
-4617711815194147190977/454854 |
j-invariant |
L |
0.45429747797638 |
L(r)(E,1)/r! |
Ω |
0.056787184747347 |
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 |
10578f1 |
Quadratic twists by: -3 |