Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
12978q |
Isogeny class |
Conductor |
12978 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5888 |
Modular degree for the optimal curve |
Δ |
-44151156 = -1 · 22 · 37 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -4 -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-351,2641] |
[a1,a2,a3,a4,a6] |
Generators |
[110:-1189:1] [-4:65:1] |
Generators of the group modulo torsion |
j |
-6570725617/60564 |
j-invariant |
L |
4.3544836392385 |
L(r)(E,1)/r! |
Ω |
2.0351713977281 |
Real period |
R |
0.13372594944889 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103824bq1 4326k1 90846bq1 |
Quadratic twists by: -4 -3 -7 |