Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120bc |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
293991120 = 24 · 36 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -4 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,-1037] |
[a1,a2,a3,a4,a6] |
Generators |
[-755:1368:125] |
Generators of the group modulo torsion |
j |
112377856/25205 |
j-invariant |
L |
5.7922421917072 |
L(r)(E,1)/r! |
Ω |
1.2483310464602 |
Real period |
R |
4.6399888940919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999681 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12780c1 5680l1 |
Quadratic twists by: -4 -3 |