Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
42300d |
Isogeny class |
Conductor |
42300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
3700404000000 = 28 · 39 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -1 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5400,-121500] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:162:1] |
Generators of the group modulo torsion |
j |
221184/47 |
j-invariant |
L |
5.2341491973015 |
L(r)(E,1)/r! |
Ω |
0.56530519235296 |
Real period |
R |
1.543163252966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42300b1 1692a1 |
Quadratic twists by: -3 5 |