Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
59640k |
Isogeny class |
Conductor |
59640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5577265612800 = 211 · 32 · 52 · 74 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8440,-278800] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1470:1] |
Generators of the group modulo torsion |
j |
32469272302322/2723274225 |
j-invariant |
L |
8.1535748365103 |
L(r)(E,1)/r! |
Ω |
0.50075056071282 |
Real period |
R |
2.0353384189976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119280d2 |
Quadratic twists by: -4 |