Atkin-Lehner |
2+ 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430c |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
53789702400 = 28 · 39 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-960,2816] |
[a1,a2,a3,a4,a6] |
Generators |
[14:263:8] |
Generators of the group modulo torsion |
j |
4973940243/2732800 |
j-invariant |
L |
4.627101773845 |
L(r)(E,1)/r! |
Ω |
0.97394129663687 |
Real period |
R |
2.375452088244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38430be1 |
Quadratic twists by: -3 |