Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790j |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
5796392109480000 = 26 · 33 · 54 · 710 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55575,-3451939] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:706:1] |
Generators of the group modulo torsion |
j |
5976054062523/1824760000 |
j-invariant |
L |
4.8830806433711 |
L(r)(E,1)/r! |
Ω |
0.31832736950431 |
Real period |
R |
1.9174759671992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790dj1 11970i1 |
Quadratic twists by: -3 -7 |