Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4830d |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-53323200 = -1 · 26 · 32 · 52 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28,-368] |
[a1,a2,a3,a4,a6] |
Generators |
[16:52:1] |
Generators of the group modulo torsion |
j |
-2565726409/53323200 |
j-invariant |
L |
2.3030838713414 |
L(r)(E,1)/r! |
Ω |
0.86052649566791 |
Real period |
R |
0.66909150471708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640ci1 14490bz1 24150cc1 33810bq1 |
Quadratic twists by: -4 -3 5 -7 |