Atkin-Lehner |
2+ 7- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
109858i |
Isogeny class |
Conductor |
109858 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28992 |
Modular degree for the optimal curve |
Δ |
-4174604 = -1 · 22 · 72 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- 0 0 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5,97] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] [-1:10:1] |
Generators of the group modulo torsion |
j |
251559/85196 |
j-invariant |
L |
4.8621175525822 |
L(r)(E,1)/r! |
Ω |
1.9127605631325 |
Real period |
R |
0.63548434188847 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109858a1 |
Quadratic twists by: -7 |