Atkin-Lehner |
3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275a |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
133761398203125 = 33 · 57 · 78 · 11 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11+ 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1594950,775297906] |
[a1,a2,a3,a4,a6] |
Generators |
[730:37:1] |
Generators of the group modulo torsion |
j |
184500191232/55 |
j-invariant |
L |
4.369355506068 |
L(r)(E,1)/r! |
Ω |
0.46896724111843 |
Real period |
R |
1.1646217291934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999811794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275g2 24255a1 121275m1 |
Quadratic twists by: -3 5 -7 |