Atkin-Lehner |
2+ 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850m |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1310400 |
Modular degree for the optimal curve |
Δ |
-63771757207031250 = -1 · 2 · 35 · 510 · 132 · 433 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-317201,69800798] |
[a1,a2,a3,a4,a6] |
Generators |
[396:-2714:1] |
Generators of the group modulo torsion |
j |
-361430953947025/6530227938 |
j-invariant |
L |
6.9221680125222 |
L(r)(E,1)/r! |
Ω |
0.34972491810911 |
Real period |
R |
0.65977264392821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83850cf1 |
Quadratic twists by: 5 |