Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275dx |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4682126656388671875 = -1 · 37 · 59 · 77 · 113 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9275700,-10873968219] |
[a1,a2,a3,a4,a6] |
j |
-65860951343104/3493875 |
j-invariant |
L |
2.0762170181306 |
L(r)(E,1)/r! |
Ω |
0.043254520622899 |
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 |
40425cc2 24255bg2 17325m2 |
Quadratic twists by: -3 5 -7 |