Atkin-Lehner |
3+ 5+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39585b |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
199632261465 = 32 · 5 · 74 · 133 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ -4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1586,10694] |
[a1,a2,a3,a4,a6] |
Generators |
[56:290:1] [-282:1385:8] |
Generators of the group modulo torsion |
j |
441215108294689/199632261465 |
j-invariant |
L |
4.5532830078292 |
L(r)(E,1)/r! |
Ω |
0.9010343383673 |
Real period |
R |
0.84223260867027 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755m1 |
Quadratic twists by: -3 |