Atkin-Lehner |
2- 3+ 11- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77418s |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-463556929856922 = -1 · 2 · 39 · 116 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6104,1053541] |
[a1,a2,a3,a4,a6] |
Generators |
[4340:60113:64] |
Generators of the group modulo torsion |
j |
-1277642325051/23551131934 |
j-invariant |
L |
12.455360454418 |
L(r)(E,1)/r! |
Ω |
0.4435083376179 |
Real period |
R |
4.6806186771532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77418b2 |
Quadratic twists by: -3 |