Atkin-Lehner |
2+ 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078a |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-2.2924062394635E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4688395,-6146008227] |
[a1,a2,a3,a4,a6] |
Generators |
[5068258014:-423276651025:804357] |
Generators of the group modulo torsion |
j |
2361217731530033375/4749320388404592 |
j-invariant |
L |
3.2110090173621 |
L(r)(E,1)/r! |
Ω |
0.062704335366938 |
Real period |
R |
12.802181061178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006y1 |
Quadratic twists by: 13 |