Atkin-Lehner |
2- 3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56280o |
Isogeny class |
Conductor |
56280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1737363600000000 = -1 · 210 · 33 · 58 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28384,786780] |
[a1,a2,a3,a4,a6] |
Generators |
[94:2068:1] |
Generators of the group modulo torsion |
j |
2469614970791804/1696644140625 |
j-invariant |
L |
5.2644549894475 |
L(r)(E,1)/r! |
Ω |
0.29761420644402 |
Real period |
R |
4.4222141243229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560m3 |
Quadratic twists by: -4 |