Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478f |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2232576 |
Modular degree for the optimal curve |
Δ |
-2.3363217656685E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -2 1 11- 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1539417,-19187731] |
[a1,a2,a3,a4,a6] |
Generators |
[3130:186733:1] |
Generators of the group modulo torsion |
j |
3343221/1936 |
j-invariant |
L |
3.9522760862553 |
L(r)(E,1)/r! |
Ω |
0.10491341501866 |
Real period |
R |
4.7089736865555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71478bj1 71478bm1 |
Quadratic twists by: -3 -19 |