Atkin-Lehner |
3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
94221l |
Isogeny class |
Conductor |
94221 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
206061327 = 39 · 192 · 29 |
Discriminant |
Eigenvalues |
1 3- -2 -4 2 -2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-153,274] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:32:1] [-26:229:8] |
Generators of the group modulo torsion |
j |
1510633/783 |
j-invariant |
L |
10.156531028423 |
L(r)(E,1)/r! |
Ω |
1.568073834393 |
Real period |
R |
1.6192686220974 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31407b1 94221h1 |
Quadratic twists by: -3 -19 |