Atkin-Lehner |
2+ 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
38950b |
Isogeny class |
Conductor |
38950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
-396562730468750 = -1 · 2 · 59 · 195 · 41 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 -5 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4583,949491] |
[a1,a2,a3,a4,a6] |
j |
681239706399/25380014750 |
j-invariant |
L |
0.80643025279594 |
L(r)(E,1)/r! |
Ω |
0.40321512639966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7790f1 |
Quadratic twists by: 5 |