Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560bb |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-583419303812620800 = -1 · 29 · 318 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10437,36746962] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:5782:1] |
Generators of the group modulo torsion |
j |
2863288/13286025 |
j-invariant |
L |
3.9616940371713 |
L(r)(E,1)/r! |
Ω |
0.22846915003901 |
Real period |
R |
4.3350426479663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001304 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560di2 23520bx2 1440g4 |
Quadratic twists by: -4 -3 -7 |