Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560m |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3187704360960 = 212 · 33 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5292,-120736] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:147:1] |
Generators of the group modulo torsion |
j |
1259712/245 |
j-invariant |
L |
7.1842328624914 |
L(r)(E,1)/r! |
Ω |
0.56732969823515 |
Real period |
R |
1.5829051618582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560cm2 70560cd2 10080b2 |
Quadratic twists by: -4 -3 -7 |