Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200bs |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-224000000000 = -1 · 214 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -3 -1 -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4000,100000] |
[a1,a2,a3,a4,a6] |
Generators |
[25:125:1] |
Generators of the group modulo torsion |
j |
-221184/7 |
j-invariant |
L |
2.5474156547643 |
L(r)(E,1)/r! |
Ω |
0.99027912140929 |
Real period |
R |
1.2862109276519 |
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 |
11200da1 700j1 100800hy1 11200bj1 |
Quadratic twists by: -4 8 -3 5 |