Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
93100r |
Isogeny class |
Conductor |
93100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-195591462500000000 = -1 · 28 · 511 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -2 0 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4013508,3093547988] |
[a1,a2,a3,a4,a6] |
j |
-15193155676624/415625 |
j-invariant |
L |
2.3650215290095 |
L(r)(E,1)/r! |
Ω |
0.29562771438549 |
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 |
18620o1 13300b1 |
Quadratic twists by: 5 -7 |