Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
940c |
Isogeny class |
Conductor |
940 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
83058400000 = 28 · 55 · 473 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 3 -7 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7076,226340] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:470:1] |
Generators of the group modulo torsion |
j |
153076524671824/324446875 |
j-invariant |
L |
2.5466599781236 |
L(r)(E,1)/r! |
Ω |
1.082324418794 |
Real period |
R |
2.3529543766197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3760f1 15040s1 8460i1 4700a1 |
Quadratic twists by: -4 8 -3 5 |