Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200u |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
798332500000000 = 28 · 510 · 75 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 3 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139375,-19981250] |
[a1,a2,a3,a4,a6] |
Generators |
[-219:196:1] |
Generators of the group modulo torsion |
j |
119767323600/319333 |
j-invariant |
L |
4.013444268635 |
L(r)(E,1)/r! |
Ω |
0.24712855462534 |
Real period |
R |
1.624030972353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26600b1 53200z1 |
Quadratic twists by: -4 5 |