Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fq |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
6123600000000 = 210 · 37 · 58 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-157800,-24127000] |
[a1,a2,a3,a4,a6] |
Generators |
[29380:26775:64] |
Generators of the group modulo torsion |
j |
37256083456/525 |
j-invariant |
L |
6.3227515323604 |
L(r)(E,1)/r! |
Ω |
0.23953731222385 |
Real period |
R |
6.5989213372545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800lw1 12600cb1 33600x1 20160cd1 |
Quadratic twists by: -4 8 -3 5 |