Atkin-Lehner |
2- 3- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
33180k |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-87426838989630000 = -1 · 24 · 35 · 54 · 78 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12601,14232140] |
[a1,a2,a3,a4,a6] |
j |
-13830988772982784/5464177436851875 |
j-invariant |
L |
2.7617761002694 |
L(r)(E,1)/r! |
Ω |
0.27617761002616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99540t1 |
Quadratic twists by: -3 |