Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800bq |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-29376000000 = -1 · 212 · 33 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3533,-82437] |
[a1,a2,a3,a4,a6] |
Generators |
[69:84:1] |
Generators of the group modulo torsion |
j |
-76225024/459 |
j-invariant |
L |
6.6884562268119 |
L(r)(E,1)/r! |
Ω |
0.30950458785588 |
Real period |
R |
3.6017000981818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40800bg1 81600fo1 122400bi1 1632c1 |
Quadratic twists by: -4 8 -3 5 |