Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200co |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-89915392000000 = -1 · 224 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7167,389537] |
[a1,a2,a3,a4,a6] |
Generators |
[407:8400:1] |
Generators of the group modulo torsion |
j |
9938375/21952 |
j-invariant |
L |
6.386617477606 |
L(r)(E,1)/r! |
Ω |
0.41915713359968 |
Real period |
R |
2.5394682827568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11200j3 2800v3 100800mz3 448f3 |
Quadratic twists by: -4 8 -3 5 |