Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136x |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
-3414528 = -1 · 29 · 33 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 -3 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51,-166] |
[a1,a2,a3,a4,a6] |
Generators |
[10:18:1] |
Generators of the group modulo torsion |
j |
-1061208/247 |
j-invariant |
L |
3.7230209378688 |
L(r)(E,1)/r! |
Ω |
0.88236474603727 |
Real period |
R |
2.1096836398446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71136b1 71136d1 |
Quadratic twists by: -4 -3 |