Atkin-Lehner |
2+ 3+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47328d |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
2555712 = 26 · 34 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-654,6660] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:110:1] [6:54:1] |
Generators of the group modulo torsion |
j |
484106454208/39933 |
j-invariant |
L |
6.846195874081 |
L(r)(E,1)/r! |
Ω |
2.4504210029431 |
Real period |
R |
2.7938855673609 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47328v1 94656s2 |
Quadratic twists by: -4 8 |