Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478r |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2954880 |
Modular degree for the optimal curve |
Δ |
3.807339173682E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 11+ 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2370213,1045274197] |
[a1,a2,a3,a4,a6] |
Generators |
[54330:1204271:125] |
Generators of the group modulo torsion |
j |
329474953/85184 |
j-invariant |
L |
5.9345144133469 |
L(r)(E,1)/r! |
Ω |
0.15838291990125 |
Real period |
R |
9.3673522639235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942s1 71478bt1 |
Quadratic twists by: -3 -19 |