Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350cw |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-661225781250 = -1 · 2 · 39 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1805,-48553] |
[a1,a2,a3,a4,a6] |
Generators |
[3540:6919:64] |
Generators of the group modulo torsion |
j |
-2282665/2322 |
j-invariant |
L |
7.4123512946677 |
L(r)(E,1)/r! |
Ω |
0.35187179080381 |
Real period |
R |
5.2663722187952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450s1 19350l1 |
Quadratic twists by: -3 5 |