Atkin-Lehner |
2+ 3- 11- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
77418l |
Isogeny class |
Conductor |
77418 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
174080 |
Modular degree for the optimal curve |
Δ |
-4682393230878 = -1 · 2 · 37 · 115 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 11- -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,378,-104166] |
[a1,a2,a3,a4,a6] |
Generators |
[45:27:1] [67:434:1] |
Generators of the group modulo torsion |
j |
8181353375/6423035982 |
j-invariant |
L |
7.2794951790589 |
L(r)(E,1)/r! |
Ω |
0.36029187128831 |
Real period |
R |
0.505110978019 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25806m1 |
Quadratic twists by: -3 |