Atkin-Lehner |
2+ 5+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
78850a |
Isogeny class |
Conductor |
78850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-479408000000 = -1 · 210 · 56 · 192 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 1 4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49201,4196548] |
[a1,a2,a3,a4,a6] |
Generators |
[107:346:1] |
Generators of the group modulo torsion |
j |
-842971295994625/30682112 |
j-invariant |
L |
5.3399903072856 |
L(r)(E,1)/r! |
Ω |
0.87388244742769 |
Real period |
R |
0.76383132580595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3154c1 |
Quadratic twists by: 5 |