Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178bm |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-185350004855775072 = -1 · 25 · 36 · 179 · 67 |
Discriminant |
Eigenvalues |
2- 3- 4 1 -2 -3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-170516,-34125072] |
[a1,a2,a3,a4,a6] |
Generators |
[2812:145984:1] |
Generators of the group modulo torsion |
j |
-22715680520161/7678901088 |
j-invariant |
L |
18.309978255942 |
L(r)(E,1)/r! |
Ω |
0.11549472414741 |
Real period |
R |
1.3211265944357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834s1 |
Quadratic twists by: 17 |