Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110ba |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
135757953324564480 = 214 · 35 · 5 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-398249,-95129044] |
[a1,a2,a3,a4,a6] |
j |
59374229431741561/1153923563520 |
j-invariant |
L |
1.902715184933 |
L(r)(E,1)/r! |
Ω |
0.1902715184933 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330ff1 95550gn1 2730g1 |
Quadratic twists by: -3 5 -7 |