Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529bi |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-37671878311147899 = -1 · 36 · 77 · 137 |
Discriminant |
Eigenvalues |
-2 3- 3 7- -6 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,74529,5086604] |
[a1,a2,a3,a4,a6] |
Generators |
[1092:37264:1] |
Generators of the group modulo torsion |
j |
110592/91 |
j-invariant |
L |
3.9048804964559 |
L(r)(E,1)/r! |
Ω |
0.23587296210983 |
Real period |
R |
1.034688456539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8281i1 10647h1 5733l1 |
Quadratic twists by: -3 -7 13 |