Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790cz |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
1545060787200 = 210 · 33 · 52 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3023,23447] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:198:1] [-47:268:1] |
Generators of the group modulo torsion |
j |
961504803/486400 |
j-invariant |
L |
14.80929679114 |
L(r)(E,1)/r! |
Ω |
0.74857334052364 |
Real period |
R |
0.49458403036259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790t1 1710m1 |
Quadratic twists by: -3 -7 |