Atkin-Lehner |
3+ 7- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18879c |
Isogeny class |
Conductor |
18879 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
30860765019 = 36 · 72 · 29 · 313 |
Discriminant |
Eigenvalues |
-1 3+ 1 7- -2 4 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5550,-161232] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:35:1] |
Generators of the group modulo torsion |
j |
18906343851679201/30860765019 |
j-invariant |
L |
2.808932465827 |
L(r)(E,1)/r! |
Ω |
0.55318255924677 |
Real period |
R |
1.2694418952993 |
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 |
56637g1 |
Quadratic twists by: -3 |