Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4998bi |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
702 |
Product of Tamagawa factors cp |
deg |
16848 |
Modular degree for the optimal curve |
Δ |
-111884838395904 = -1 · 213 · 39 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -3 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4409,496649] |
[a1,a2,a3,a4,a6] |
Generators |
[662:-17467:1] |
Generators of the group modulo torsion |
j |
3947714094191/46599266304 |
j-invariant |
L |
6.0425979858481 |
L(r)(E,1)/r! |
Ω |
0.43742902444997 |
Real period |
R |
0.01967791106078 |
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 |
39984be1 14994q1 124950e1 4998bf1 |
Quadratic twists by: -4 -3 5 -7 |