Atkin-Lehner |
2+ 5+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
56950c |
Isogeny class |
Conductor |
56950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-30525200 = -1 · 24 · 52 · 17 · 672 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 4 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-240,1360] |
[a1,a2,a3,a4,a6] |
Generators |
[1:33:1] [4:20:1] |
Generators of the group modulo torsion |
j |
-61551948145/1221008 |
j-invariant |
L |
5.6478107168905 |
L(r)(E,1)/r! |
Ω |
2.0895455473885 |
Real period |
R |
0.67572237465106 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56950t1 |
Quadratic twists by: 5 |