Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998bg |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-6913413525441024 = -1 · 29 · 39 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5291,-3995461] |
[a1,a2,a3,a4,a6] |
j |
139233463487/58763045376 |
j-invariant |
L |
3.5443941406041 |
L(r)(E,1)/r! |
Ω |
0.19691078558912 |
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 |
39984dt1 14994z1 124950ct1 714i1 |
Quadratic twists by: -4 -3 5 -7 |