Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800bc |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
3901625000000 = 26 · 59 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4625,-75000] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:168:1] |
Generators of the group modulo torsion |
j |
87528384/31213 |
j-invariant |
L |
5.8634687629667 |
L(r)(E,1)/r! |
Ω |
0.59601366887849 |
Real period |
R |
2.459452303546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800t1 72800bw1 |
Quadratic twists by: -4 5 |