Atkin-Lehner |
2+ 5+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
56950d |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
286848 |
Modular degree for the optimal curve |
Δ |
-13784035625000 = -1 · 23 · 57 · 173 · 672 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 -2 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9292,390616] |
[a1,a2,a3,a4,a6] |
Generators |
[93:-616:1] [-378:6989:8] |
Generators of the group modulo torsion |
j |
-5678813154321/882178280 |
j-invariant |
L |
3.9185811307284 |
L(r)(E,1)/r! |
Ω |
0.68105231592046 |
Real period |
R |
0.23973813753182 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11390i1 |
Quadratic twists by: 5 |