Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64960b |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
827081113600 = 214 · 52 · 74 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2428,14352] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:240:1] |
Generators of the group modulo torsion |
j |
96616170576/50481025 |
j-invariant |
L |
3.1706116172593 |
L(r)(E,1)/r! |
Ω |
0.7842195353054 |
Real period |
R |
2.0215076738533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64960bg2 8120i2 |
Quadratic twists by: -4 8 |