Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148g |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
40176 |
Modular degree for the optimal curve |
Δ |
-125505072 = -1 · 24 · 33 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1437,-20502] |
[a1,a2,a3,a4,a6] |
Generators |
[1542:7658:27] |
Generators of the group modulo torsion |
j |
-70647808/27 |
j-invariant |
L |
6.1235780016455 |
L(r)(E,1)/r! |
Ω |
0.38767717169618 |
Real period |
R |
5.2651866452367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148cm1 71148f1 |
Quadratic twists by: -7 -11 |