Atkin-Lehner |
5- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
78155k |
Isogeny class |
Conductor |
78155 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-117281346875 = -1 · 55 · 76 · 11 · 29 |
Discriminant |
Eigenvalues |
-2 -1 5- 7- 11+ -5 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-800,18906] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:122:1] [5:-123:1] |
Generators of the group modulo torsion |
j |
-481890304/996875 |
j-invariant |
L |
4.5698268337695 |
L(r)(E,1)/r! |
Ω |
0.93387966596096 |
Real period |
R |
0.24466893329752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1595a1 |
Quadratic twists by: -7 |