Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
101400m |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3769920 |
Modular degree for the optimal curve |
Δ |
-2.63905782075E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 6 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-985833,450917037] |
[a1,a2,a3,a4,a6] |
Generators |
[773:12254:1] |
Generators of the group modulo torsion |
j |
-8780800/2187 |
j-invariant |
L |
4.8283847643556 |
L(r)(E,1)/r! |
Ω |
0.20134479771869 |
Real period |
R |
5.9951695159027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999980285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101400ds1 600g1 |
Quadratic twists by: 5 13 |