Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
53100z |
Isogeny class |
Conductor |
53100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1741945500000000 = 28 · 310 · 59 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-357375,-82206250] |
[a1,a2,a3,a4,a6] |
Generators |
[-4255717370:573407471:12167000] |
Generators of the group modulo torsion |
j |
13848370832/4779 |
j-invariant |
L |
6.0483499996169 |
L(r)(E,1)/r! |
Ω |
0.19526639432883 |
Real period |
R |
15.48743197826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17700e2 53100ba2 |
Quadratic twists by: -3 5 |