Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34720ba |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
738355520000 = 29 · 54 · 74 · 312 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -2 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6160,179400] |
[a1,a2,a3,a4,a6] |
Generators |
[70:310:1] [-82:374:1] |
Generators of the group modulo torsion |
j |
50497094229128/1442100625 |
j-invariant |
L |
6.2716255256178 |
L(r)(E,1)/r! |
Ω |
0.89713381450542 |
Real period |
R |
0.87384198212893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34720bb2 69440cn2 |
Quadratic twists by: -4 8 |