Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840u |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
40219200 = 26 · 33 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4270,-108832] |
[a1,a2,a3,a4,a6] |
j |
134564055534784/628425 |
j-invariant |
L |
3.5435248514622 |
L(r)(E,1)/r! |
Ω |
0.59058747487891 |
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 |
63840n1 127680dj1 |
Quadratic twists by: -4 8 |