Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110ca |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
788480 |
Modular degree for the optimal curve |
Δ |
3.4754036051089E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1233135,-444752715] |
[a1,a2,a3,a4,a6] |
j |
5138936454608263/861237411840 |
j-invariant |
L |
3.1878029381816 |
L(r)(E,1)/r! |
Ω |
0.14490013355371 |
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 |
57330w1 95550el1 19110cu1 |
Quadratic twists by: -3 5 -7 |