Atkin-Lehner |
2- 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9918l |
Isogeny class |
Conductor |
9918 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-476064 = -1 · 25 · 33 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 -3 -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19,-11] |
[a1,a2,a3,a4,a6] |
Generators |
[1:2:1] |
Generators of the group modulo torsion |
j |
29503629/17632 |
j-invariant |
L |
7.5320867154483 |
L(r)(E,1)/r! |
Ω |
1.7232220919464 |
Real period |
R |
0.43709320758191 |
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 |
79344ba1 9918d1 |
Quadratic twists by: -4 -3 |