Atkin-Lehner |
2+ 3- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390ba |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17418240 |
Modular degree for the optimal curve |
Δ |
1.0499528559063E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 0 13- 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-892464534,-10261837201932] |
[a1,a2,a3,a4,a6] |
Generators |
[-472369695426443964:238775749094874462:27387943334207] |
Generators of the group modulo torsion |
j |
107837319387811711974735390049/144026454856826880 |
j-invariant |
L |
6.0895247513335 |
L(r)(E,1)/r! |
Ω |
0.027621789613501 |
Real period |
R |
18.371742129859 |
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 |
26130y1 |
Quadratic twists by: -3 |