Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600b |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-4563000000 = -1 · 26 · 33 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-225,3500] |
[a1,a2,a3,a4,a6] |
Generators |
[5:50:1] |
Generators of the group modulo torsion |
j |
-46656/169 |
j-invariant |
L |
5.6137629905446 |
L(r)(E,1)/r! |
Ω |
1.2039031548278 |
Real period |
R |
1.1657422271359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600cq1 93600cr1 3744i1 |
Quadratic twists by: -4 -3 5 |