Atkin-Lehner |
2- 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550bf |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-1554957000000000 = -1 · 29 · 39 · 59 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 3 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-125930,-17273303] |
[a1,a2,a3,a4,a6] |
j |
-5744956671/40448 |
j-invariant |
L |
4.5599216304774 |
L(r)(E,1)/r! |
Ω |
0.12666448973547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35550e1 35550f1 |
Quadratic twists by: -3 5 |