Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798bg |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-2669966465946624 = -1 · 210 · 37 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -2 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28867,-1624827] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1470:1] |
Generators of the group modulo torsion |
j |
756058031/758784 |
j-invariant |
L |
8.9914750400305 |
L(r)(E,1)/r! |
Ω |
0.24745688937342 |
Real period |
R |
0.22709700724683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000156 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19266a1 4446e1 |
Quadratic twists by: -3 13 |