Atkin-Lehner |
2- 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340v |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-189678510000 = -1 · 24 · 38 · 54 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1068,16081] |
[a1,a2,a3,a4,a6] |
Generators |
[2:135:1] |
Generators of the group modulo torsion |
j |
11550212096/16261875 |
j-invariant |
L |
7.3089678945725 |
L(r)(E,1)/r! |
Ω |
0.68220355064528 |
Real period |
R |
0.44640683653844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780i1 |
Quadratic twists by: -3 |