Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ea |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8809889516660925 = 38 · 52 · 79 · 113 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-416010,-103178259] |
[a1,a2,a3,a4,a6] |
j |
3713464238080/4108797 |
j-invariant |
L |
2.2559730916933 |
L(r)(E,1)/r! |
Ω |
0.18799766884151 |
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 |
40425ce2 121275gk2 17325o2 |
Quadratic twists by: -3 5 -7 |