Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275en |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8847360 |
Modular degree for the optimal curve |
Δ |
-3.097492991123E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,385645,-26777022478] |
[a1,a2,a3,a4,a6] |
j |
4733169839/231139696095 |
j-invariant |
L |
0.35678611061473 |
L(r)(E,1)/r! |
Ω |
0.044598311643538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425cg1 24255bs1 17325s1 |
Quadratic twists by: -3 5 -7 |