Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450i |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
-855625000000000 = -1 · 29 · 513 · 372 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -5 1 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3026,-1409052] |
[a1,a2,a3,a4,a6] |
Generators |
[1272:44676:1] |
Generators of the group modulo torsion |
j |
-143186041/40000000 |
j-invariant |
L |
2.4861245497099 |
L(r)(E,1)/r! |
Ω |
0.223751346292 |
Real period |
R |
2.7777760787929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13690g1 68450bc1 |
Quadratic twists by: 5 37 |