Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400fm |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-137200000000 = -1 · 210 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 3 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1167,9463] |
[a1,a2,a3,a4,a6] |
Generators |
[58:525:1] |
Generators of the group modulo torsion |
j |
1280 |
j-invariant |
L |
5.0967418329017 |
L(r)(E,1)/r! |
Ω |
0.66569758739675 |
Real period |
R |
1.2760403349183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400kt1 9800q1 78400cg1 78400fh1 |
Quadratic twists by: -4 8 5 -7 |