Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148cr |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
135577924558374144 = 28 · 3 · 77 · 118 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173917,21517439] |
[a1,a2,a3,a4,a6] |
Generators |
[1129:35574:1] |
Generators of the group modulo torsion |
j |
90112/21 |
j-invariant |
L |
6.1673169044859 |
L(r)(E,1)/r! |
Ω |
0.30861908336992 |
Real period |
R |
0.55509969296052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10164g1 71148ct1 |
Quadratic twists by: -7 -11 |