Atkin-Lehner |
3+ 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
109005i |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-2989121484375 = -1 · 34 · 58 · 133 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 6 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1765,-88678] |
[a1,a2,a3,a4,a6] |
j |
-276785390413/1360546875 |
j-invariant |
L |
2.6621044951467 |
L(r)(E,1)/r! |
Ω |
0.33276315950544 |
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 |
109005d1 |
Quadratic twists by: 13 |