Atkin-Lehner |
2+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040k |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-31616000 = -1 · 210 · 53 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ -5 2 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19,275] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:16:1] [11:44:1] |
Generators of the group modulo torsion |
j |
702464/30875 |
j-invariant |
L |
10.443873911305 |
L(r)(E,1)/r! |
Ω |
1.5785159584756 |
Real period |
R |
3.3081306068608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040bs1 9880g1 |
Quadratic twists by: -4 8 |