Atkin-Lehner |
2- 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210bo |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
3855129961536000000 = 212 · 35 · 56 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-392001,-392001] |
[a1,a2,a3,a4,a6] |
j |
56623546369152001/32768064000000 |
j-invariant |
L |
2.5141613503082 |
L(r)(E,1)/r! |
Ω |
0.20951344614483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030ba1 |
Quadratic twists by: -7 |