Atkin-Lehner |
2+ 3+ 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64170b |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
88554600 = 23 · 33 · 52 · 232 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3975,97461] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-22:1] [110:1647:8] |
Generators of the group modulo torsion |
j |
257295862357227/3279800 |
j-invariant |
L |
7.0388265382573 |
L(r)(E,1)/r! |
Ω |
1.7395038945185 |
Real period |
R |
2.0232281630469 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64170u2 |
Quadratic twists by: -3 |