Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790ek |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
135400450500 = 22 · 37 · 53 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-177638,-28772719] |
[a1,a2,a3,a4,a6] |
Generators |
[1266696:61379717:512] |
Generators of the group modulo torsion |
j |
2479176213198607/541500 |
j-invariant |
L |
8.8325840204979 |
L(r)(E,1)/r! |
Ω |
0.23254969950014 |
Real period |
R |
9.4953724303131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930bt1 83790fe1 |
Quadratic twists by: -3 -7 |