Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4998a |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1872 |
Modular degree for the optimal curve |
Δ |
-37470006 = -1 · 2 · 33 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -1 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-417,3123] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:60:1] |
Generators of the group modulo torsion |
j |
-3352478521/15606 |
j-invariant |
L |
2.5907686808241 |
L(r)(E,1)/r! |
Ω |
2.0637791714469 |
Real period |
R |
0.20922528248728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39984cq1 14994bz1 124950he1 4998s1 |
Quadratic twists by: -4 -3 5 -7 |