Atkin-Lehner |
2+ 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210y |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-695323197904643280 = -1 · 24 · 32 · 5 · 710 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,95671,38476316] |
[a1,a2,a3,a4,a6] |
Generators |
[431:-12858:1] [216:8212:1] |
Generators of the group modulo torsion |
j |
823157496813959/5910149664720 |
j-invariant |
L |
8.2572674130671 |
L(r)(E,1)/r! |
Ω |
0.20831769692391 |
Real period |
R |
2.4773661620592 |
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 |
9030g4 |
Quadratic twists by: -7 |