Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200by |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-164708600000000000 = -1 · 212 · 511 · 77 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 -7 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,42467,-19247563] |
[a1,a2,a3,a4,a6] |
Generators |
[247:2500:1] |
Generators of the group modulo torsion |
j |
1124864/21875 |
j-invariant |
L |
3.660621085131 |
L(r)(E,1)/r! |
Ω |
0.15696604559897 |
Real period |
R |
1.4575688452088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200k1 78400bg1 7840c1 5600m1 |
Quadratic twists by: -4 8 5 -7 |