Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350u |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
1.3557194846191E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34768692,78719337216] |
[a1,a2,a3,a4,a6] |
Generators |
[13404:1414848:1] |
Generators of the group modulo torsion |
j |
408076159454905367161/1190206406250000 |
j-invariant |
L |
3.0630026283035 |
L(r)(E,1)/r! |
Ω |
0.12611516087737 |
Real period |
R |
3.0359183295197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450bh1 3870q1 |
Quadratic twists by: -3 5 |