Atkin-Lehner |
3+ 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
84075b |
Isogeny class |
Conductor |
84075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-52546875 = -1 · 3 · 56 · 19 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5+ -5 -4 -1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-233,1493] |
[a1,a2,a3,a4,a6] |
Generators |
[1:35:1] [7:-13:1] |
Generators of the group modulo torsion |
j |
-89915392/3363 |
j-invariant |
L |
6.0048417132111 |
L(r)(E,1)/r! |
Ω |
1.9827393537162 |
Real period |
R |
1.5142791466026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3363e1 |
Quadratic twists by: 5 |