Atkin-Lehner |
2+ 3- 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450bb |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-926806640625000 = -1 · 23 · 33 · 514 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 -6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-776,-1464802] |
[a1,a2,a3,a4,a6] |
Generators |
[212:2706:1] |
Generators of the group modulo torsion |
j |
-3301293169/59315625000 |
j-invariant |
L |
5.5216375997813 |
L(r)(E,1)/r! |
Ω |
0.22649279571654 |
Real period |
R |
4.063144406616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999700351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090f1 |
Quadratic twists by: 5 |