Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798bh |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-610129055694834 = -1 · 2 · 39 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4531,-1183737] |
[a1,a2,a3,a4,a6] |
Generators |
[8151065564146042:47721988648418223:77515843238072] |
Generators of the group modulo torsion |
j |
17303/1026 |
j-invariant |
L |
12.50504630414 |
L(r)(E,1)/r! |
Ω |
0.2457828947047 |
Real period |
R |
25.439211949969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19266c1 57798w1 |
Quadratic twists by: -3 13 |