Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520by |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
997557534720 = 220 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2892,35696] |
[a1,a2,a3,a4,a6] |
Generators |
[100:864:1] |
Generators of the group modulo torsion |
j |
13997521/5220 |
j-invariant |
L |
7.720804571013 |
L(r)(E,1)/r! |
Ω |
0.80250226829846 |
Real period |
R |
2.4052282689434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fs1 2610d1 27840k1 |
Quadratic twists by: -4 8 -3 |