Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400dj |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-42875000000 = -1 · 26 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -1 -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-700,12250] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:133:1] [-5:125:1] |
Generators of the group modulo torsion |
j |
-110592/125 |
j-invariant |
L |
6.8683153909801 |
L(r)(E,1)/r! |
Ω |
1.0354663975867 |
Real period |
R |
0.82913306106604 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400iw1 1225c1 15680z1 78400dc1 |
Quadratic twists by: -4 8 5 -7 |