Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700r |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
393120 |
Modular degree for the optimal curve |
Δ |
-2646883043500800 = -1 · 28 · 3 · 52 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-380813,-90612417] |
[a1,a2,a3,a4,a6] |
Generators |
[101659081321162556777478223258550372254029193951747782:6547112352596907896176284838632865337181356673161984107:23967618254727201293837023129237622577420999057171] |
Generators of the group modulo torsion |
j |
-6922240/3 |
j-invariant |
L |
8.0940769732784 |
L(r)(E,1)/r! |
Ω |
0.096090451195443 |
Real period |
R |
84.233936593923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50700j1 50700s1 |
Quadratic twists by: 5 13 |