Atkin-Lehner |
3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275m |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
1136953125 = 33 · 57 · 72 · 11 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11+ -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-32550,-2260344] |
[a1,a2,a3,a4,a6] |
j |
184500191232/55 |
j-invariant |
L |
1.4217450291793 |
L(r)(E,1)/r! |
Ω |
0.35543632852771 |
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 |
121275y2 24255q1 121275a1 |
Quadratic twists by: -3 5 -7 |