Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400db |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2056320 |
Modular degree for the optimal curve |
Δ |
6.8976792637553E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24665248,-25035861772] |
[a1,a2,a3,a4,a6] |
Generators |
[-1828:118098:1] |
Generators of the group modulo torsion |
j |
16206164115169540524745/6736014906011025408 |
j-invariant |
L |
6.0288980850196 |
L(r)(E,1)/r! |
Ω |
0.070283370886587 |
Real period |
R |
2.0423777444041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2550r1 81600fk1 61200fn1 20400cn1 |
Quadratic twists by: -4 8 -3 5 |