Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078cu |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
4412928 |
Modular degree for the optimal curve |
Δ |
1.2712618730537E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ 13+ 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3061016,-1143201216] |
[a1,a2,a3,a4,a6] |
Generators |
[-23136:799096:27] |
Generators of the group modulo torsion |
j |
3888424774885729/1558433243136 |
j-invariant |
L |
11.859329812143 |
L(r)(E,1)/r! |
Ω |
0.11816790856335 |
Real period |
R |
3.8599995139979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078bo1 |
Quadratic twists by: 13 |