Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078df |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-6367554853051392 = -1 · 210 · 32 · 7 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17657,-3730039] |
[a1,a2,a3,a4,a6] |
Generators |
[140:1151:1] |
Generators of the group modulo torsion |
j |
126128378375/1319205888 |
j-invariant |
L |
13.353607745586 |
L(r)(E,1)/r! |
Ω |
0.20863120466365 |
Real period |
R |
3.2002901400994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006k1 |
Quadratic twists by: 13 |