Atkin-Lehner |
2+ 5- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53720c |
Isogeny class |
Conductor |
53720 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-18264800000 = -1 · 28 · 55 · 172 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -3 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,215,6317] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:34:1] [-11:50:1] |
Generators of the group modulo torsion |
j |
4273439744/71346875 |
j-invariant |
L |
7.9324880227094 |
L(r)(E,1)/r! |
Ω |
0.91225099238877 |
Real period |
R |
0.21738776084913 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107440h1 |
Quadratic twists by: -4 |