Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21756g |
Isogeny class |
Conductor |
21756 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
908629125887559888 = 24 · 34 · 712 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-877753,313476598] |
[a1,a2,a3,a4,a6] |
j |
39731316127744000/482701258557 |
j-invariant |
L |
1.6856854449973 |
L(r)(E,1)/r! |
Ω |
0.28094757416622 |
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 |
87024dz3 65268m3 3108i3 |
Quadratic twists by: -4 -3 -7 |