Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400eu |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-25088000000000 = -1 · 218 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12833,613537] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:1000:1] |
Generators of the group modulo torsion |
j |
-9317 |
j-invariant |
L |
4.7956557623485 |
L(r)(E,1)/r! |
Ω |
0.6538560196857 |
Real period |
R |
1.8336054191804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400kh1 1225g1 78400eg1 78400dp1 |
Quadratic twists by: -4 8 5 -7 |