Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5310q |
Isogeny class |
Conductor |
5310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-187151613750 = -1 · 2 · 36 · 54 · 593 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 3 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1408,-4759] |
[a1,a2,a3,a4,a6] |
j |
423733973831/256723750 |
j-invariant |
L |
4.6909930936889 |
L(r)(E,1)/r! |
Ω |
0.58637413671111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42480cc1 590a1 26550o1 |
Quadratic twists by: -4 -3 5 |