Atkin-Lehner |
2+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
5150a |
Isogeny class |
Conductor |
5150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
624 |
Modular degree for the optimal curve |
Δ |
-164800 = -1 · 26 · 52 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5+ 1 0 -5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10,20] |
[a1,a2,a3,a4,a6] |
Generators |
[4:10:1] |
Generators of the group modulo torsion |
j |
3767855/6592 |
j-invariant |
L |
3.9625742737937 |
L(r)(E,1)/r! |
Ω |
2.2125809675064 |
Real period |
R |
0.8954642410803 |
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 |
41200bi1 46350bq1 5150t1 |
Quadratic twists by: -4 -3 5 |