Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53820c |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
856101234382290000 = 24 · 33 · 54 · 1310 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-385668,-80725967] |
[a1,a2,a3,a4,a6] |
Generators |
[734:5625:1] |
Generators of the group modulo torsion |
j |
14685230998220193792/1981715820329375 |
j-invariant |
L |
5.0635970730322 |
L(r)(E,1)/r! |
Ω |
0.19328962876183 |
Real period |
R |
4.3661568957708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53820d1 |
Quadratic twists by: -3 |