Atkin-Lehner |
2+ 3+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210g |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
39645389432250 = 2 · 36 · 53 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-66518,-6624078] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:141:1] |
Generators of the group modulo torsion |
j |
276670733768281/336980250 |
j-invariant |
L |
2.4266545331172 |
L(r)(E,1)/r! |
Ω |
0.297300521598 |
Real period |
R |
4.0811474532897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1290g2 |
Quadratic twists by: -7 |