Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ea |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
120357741752325 = 312 · 52 · 77 · 11 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11- 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19110,869076] |
[a1,a2,a3,a4,a6] |
j |
359956480/56133 |
j-invariant |
L |
2.2559730916933 |
L(r)(E,1)/r! |
Ω |
0.56399300652454 |
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 |
40425ce1 121275gk1 17325o1 |
Quadratic twists by: -3 5 -7 |