Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110cb |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
6546969199680 = 26 · 3 · 5 · 79 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17200,852305] |
[a1,a2,a3,a4,a6] |
j |
13945313143/162240 |
j-invariant |
L |
4.5227154574877 |
L(r)(E,1)/r! |
Ω |
0.75378590958128 |
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 |
57330bg1 95550et1 19110cw1 |
Quadratic twists by: -3 5 -7 |