Atkin-Lehner |
2+ 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210y |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2323404217890000 = 24 · 38 · 54 · 77 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1260649,544692572] |
[a1,a2,a3,a4,a6] |
Generators |
[319:13070:1] [-7402:246247:8] |
Generators of the group modulo torsion |
j |
1883291419797411961/19748610000 |
j-invariant |
L |
8.2572674130671 |
L(r)(E,1)/r! |
Ω |
0.41663539384782 |
Real period |
R |
0.6193415405148 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030g3 |
Quadratic twists by: -7 |