Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275fd |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
8128512 |
Modular degree for the optimal curve |
Δ |
-7.5692682893683E+20 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11- 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51988617,-144274529484] |
[a1,a2,a3,a4,a6] |
j |
-5916387959190625/288178803 |
j-invariant |
L |
2.0240611797953 |
L(r)(E,1)/r! |
Ω |
0.028111966285575 |
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 |
40425cv1 121275ct1 121275gl1 |
Quadratic twists by: -3 5 -7 |