Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800de |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-7045120000000 = -1 · 221 · 57 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 -4 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32300,-2238000] |
[a1,a2,a3,a4,a6] |
Generators |
[330:4800:1] |
Generators of the group modulo torsion |
j |
-909853209/1720 |
j-invariant |
L |
5.3094297500258 |
L(r)(E,1)/r! |
Ω |
0.17804087806137 |
Real period |
R |
1.8638380295949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800a1 17200i1 13760p1 |
Quadratic twists by: -4 8 5 |