Atkin-Lehner |
2- 3- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370bj |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2230272 |
Modular degree for the optimal curve |
Δ |
-2608605836491069440 = -1 · 211 · 317 · 5 · 19 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 3 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2752853,1760419757] |
[a1,a2,a3,a4,a6] |
Generators |
[1035:3856:1] |
Generators of the group modulo torsion |
j |
-3164791467870465720841/3578334480783360 |
j-invariant |
L |
10.507188586131 |
L(r)(E,1)/r! |
Ω |
0.25542315458132 |
Real period |
R |
0.93491813981588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000196 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26790k1 |
Quadratic twists by: -3 |