Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400em |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
666146531250000 = 24 · 310 · 59 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-760800,255416375] |
[a1,a2,a3,a4,a6] |
Generators |
[185:11000:1] |
Generators of the group modulo torsion |
j |
267219216891904/3655125 |
j-invariant |
L |
6.3152603372177 |
L(r)(E,1)/r! |
Ω |
0.46586432934481 |
Real period |
R |
3.3890018723107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17100y1 22800bt1 13680bi1 |
Quadratic twists by: -4 -3 5 |