Atkin-Lehner |
7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
47971g |
Isogeny class |
Conductor |
47971 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
306432 |
Modular degree for the optimal curve |
Δ |
-9998229995249419 = -1 · 78 · 117 · 89 |
Discriminant |
Eigenvalues |
0 0 3 7- 11- -3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-307916,65940978] |
[a1,a2,a3,a4,a6] |
Generators |
[378:1886:1] |
Generators of the group modulo torsion |
j |
-27443041428307968/84983552731 |
j-invariant |
L |
5.6570701567908 |
L(r)(E,1)/r! |
Ω |
0.40917203105717 |
Real period |
R |
0.49377328983869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6853f1 |
Quadratic twists by: -7 |