Atkin-Lehner |
3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
92925y |
Isogeny class |
Conductor |
92925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
8820256990379625 = 320 · 53 · 73 · 59 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -4 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51777,396256] |
[a1,a2,a3,a4,a6] |
Generators |
[2542:30679:8] |
Generators of the group modulo torsion |
j |
168461839773989/96792943653 |
j-invariant |
L |
3.8680675815783 |
L(r)(E,1)/r! |
Ω |
0.35170555566175 |
Real period |
R |
5.4990140189561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30975m1 92925bk1 |
Quadratic twists by: -3 5 |