Atkin-Lehner |
2- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
57950bj |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2115072 |
Modular degree for the optimal curve |
Δ |
-1.38083984375E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 4 -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1280037,-94353583] |
[a1,a2,a3,a4,a6] |
Generators |
[1492:70929:1] |
Generators of the group modulo torsion |
j |
14844693489065522711/8837375000000000 |
j-invariant |
L |
13.23729541659 |
L(r)(E,1)/r! |
Ω |
0.10758695988272 |
Real period |
R |
3.4177250742733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11590a1 |
Quadratic twists by: 5 |