Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478cu |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
11404800 |
Modular degree for the optimal curve |
Δ |
-9.956107982326E+22 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11- 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37100399,88303479567] |
[a1,a2,a3,a4,a6] |
Generators |
[5429:213798:1] |
Generators of the group modulo torsion |
j |
-164668416049678897/2902956072984 |
j-invariant |
L |
9.2215218580357 |
L(r)(E,1)/r! |
Ω |
0.10658323492729 |
Real period |
R |
1.2016588964252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826e1 3762k1 |
Quadratic twists by: -3 -19 |