Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810cq |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-6913872000 = -1 · 27 · 32 · 53 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-321,-4599] |
[a1,a2,a3,a4,a6] |
Generators |
[30:99:1] |
Generators of the group modulo torsion |
j |
-533411731/1008000 |
j-invariant |
L |
10.941181194102 |
L(r)(E,1)/r! |
Ω |
0.53101533783009 |
Real period |
R |
0.73586663762487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810b1 |
Quadratic twists by: -19 |