Atkin-Lehner |
2- 5+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
105040r |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-17144208640 = -1 · 28 · 5 · 13 · 1013 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 0 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-436,7356] |
[a1,a2,a3,a4,a6] |
j |
-35887146064/66969565 |
j-invariant |
L |
3.2991415990309 |
L(r)(E,1)/r! |
Ω |
1.0997138715332 |
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 |
26260c1 |
Quadratic twists by: -4 |