Atkin-Lehner |
3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92781f |
Isogeny class |
Conductor |
92781 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2999808 |
Modular degree for the optimal curve |
Δ |
-12732430030684299 = -1 · 39 · 139 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 3 -1 2 13+ 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2450331,-1476346102] |
[a1,a2,a3,a4,a6] |
Generators |
[11241309702246:1183320997882277:994011992] |
Generators of the group modulo torsion |
j |
-17125630488576/134017 |
j-invariant |
L |
4.5875375353887 |
L(r)(E,1)/r! |
Ω |
0.06033414552675 |
Real period |
R |
19.008877540806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92781d1 7137b1 |
Quadratic twists by: -3 13 |