Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
11200bz |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-160563200 = -1 · 217 · 52 · 72 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -1 -6 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-673,6977] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:112:1] [13:16:1] |
Generators of the group modulo torsion |
j |
-10303010/49 |
j-invariant |
L |
5.1428828348293 |
L(r)(E,1)/r! |
Ω |
1.8281710073641 |
Real period |
R |
0.35164125881222 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11200s1 2800b1 100800lh1 11200de1 |
Quadratic twists by: -4 8 -3 5 |