Atkin-Lehner |
2- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
57820m |
Isogeny class |
Conductor |
57820 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-1156400 = -1 · 24 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 2 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,188] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:20:1] |
Generators of the group modulo torsion |
j |
-39337984/1475 |
j-invariant |
L |
8.4013222742878 |
L(r)(E,1)/r! |
Ω |
2.7250234488737 |
Real period |
R |
1.5415137579543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57820a1 |
Quadratic twists by: -7 |