Atkin-Lehner |
2- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
57950bg |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
3.9747905E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2289563,1297538281] |
[a1,a2,a3,a4,a6] |
Generators |
[5025:797474:27] |
Generators of the group modulo torsion |
j |
84949630152586888681/2543865920000000 |
j-invariant |
L |
13.941723791601 |
L(r)(E,1)/r! |
Ω |
0.20339263351542 |
Real period |
R |
2.8560776658478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11590d1 |
Quadratic twists by: 5 |