Atkin-Lehner |
2+ 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350bl |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2088960 |
Modular degree for the optimal curve |
Δ |
-8.5198293172224E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49070367,-133036209459] |
[a1,a2,a3,a4,a6] |
j |
-9177493130077937309/59837484367872 |
j-invariant |
L |
1.8246329206164 |
L(r)(E,1)/r! |
Ω |
0.028509889384631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450bm1 19350cm1 |
Quadratic twists by: -3 5 |