Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998l |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
783059576269824 = 210 · 33 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 0 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-58875,5326150] |
[a1,a2,a3,a4,a6] |
Generators |
[-241:2472:1] |
Generators of the group modulo torsion |
j |
3914907891433/135834624 |
j-invariant |
L |
2.7594261488263 |
L(r)(E,1)/r! |
Ω |
0.50068752580916 |
Real period |
R |
0.91854566856737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
39984bj1 14994by1 124950ek1 4998f1 |
Quadratic twists by: -4 -3 5 -7 |