Atkin-Lehner |
2+ 5- 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
57950w |
Isogeny class |
Conductor |
57950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
1002958107437500000 = 25 · 59 · 19 · 615 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 2 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4485701,3656044048] |
[a1,a2,a3,a4,a6] |
Generators |
[32754:-12578:27] |
Generators of the group modulo torsion |
j |
5110748375212318229/513514551008 |
j-invariant |
L |
5.4867596598288 |
L(r)(E,1)/r! |
Ω |
0.26604071833827 |
Real period |
R |
2.0623759002754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999819 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57950bu2 |
Quadratic twists by: 5 |