Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63840i |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
20632449600 = 26 · 36 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-750,-3600] |
[a1,a2,a3,a4,a6] |
j |
729972432064/322382025 |
j-invariant |
L |
1.9002903227702 |
L(r)(E,1)/r! |
Ω |
0.95014516494256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840y1 127680fc2 |
Quadratic twists by: -4 8 |