Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275q |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29514240 |
Modular degree for the optimal curve |
Δ |
4.0004324413776E+25 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11+ 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-145140450,600299295531] |
[a1,a2,a3,a4,a6] |
j |
2837428440956928/335693359375 |
j-invariant |
L |
1.9972337240583 |
L(r)(E,1)/r! |
Ω |
0.062413555607746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275bc2 24255f1 121275c1 |
Quadratic twists by: -3 5 -7 |