Atkin-Lehner |
5- 7+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
96425l |
Isogeny class |
Conductor |
96425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19488 |
Modular degree for the optimal curve |
Δ |
-45801875 = -1 · 54 · 7 · 192 · 29 |
Discriminant |
Eigenvalues |
0 -1 5- 7+ 2 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-133,-632] |
[a1,a2,a3,a4,a6] |
Generators |
[38:218:1] |
Generators of the group modulo torsion |
j |
-419430400/73283 |
j-invariant |
L |
3.2335915094674 |
L(r)(E,1)/r! |
Ω |
0.69584976561086 |
Real period |
R |
2.3234839423596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878908 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96425g1 |
Quadratic twists by: 5 |