Atkin-Lehner |
3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975i |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-1080685546875 = -1 · 37 · 59 · 11 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 11+ 3 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1583,-55057] |
[a1,a2,a3,a4,a6] |
Generators |
[1659:7424:27] |
Generators of the group modulo torsion |
j |
-224755712/553311 |
j-invariant |
L |
3.0163021093432 |
L(r)(E,1)/r! |
Ω |
0.35270130952751 |
Real period |
R |
4.2760007233655 |
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 |
56925bi1 18975v1 |
Quadratic twists by: -3 5 |