Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200d |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-334540800 = -1 · 212 · 33 · 52 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11+ 5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,120,720] |
[a1,a2,a3,a4,a6] |
Generators |
[24:132:1] |
Generators of the group modulo torsion |
j |
69120/121 |
j-invariant |
L |
6.3786453703994 |
L(r)(E,1)/r! |
Ω |
1.1729782664484 |
Real period |
R |
0.67974888704912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200cs1 79200ct1 79200cx1 |
Quadratic twists by: -4 -3 5 |