Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200cr |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-22170931200 = -1 · 212 · 39 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-540,-8640] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1188:1] |
Generators of the group modulo torsion |
j |
-8640/11 |
j-invariant |
L |
7.5618354703341 |
L(r)(E,1)/r! |
Ω |
0.4725944243345 |
Real period |
R |
2.0000858778064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200cl1 79200b1 79200o1 |
Quadratic twists by: -4 -3 5 |