Atkin-Lehner |
3- 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
74235k |
Isogeny class |
Conductor |
74235 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
19100543977305 = 38 · 5 · 78 · 101 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26584,-1657183] |
[a1,a2,a3,a4,a6] |
Generators |
[12436:40055:64] |
Generators of the group modulo torsion |
j |
17659279186921/162351945 |
j-invariant |
L |
10.349236355681 |
L(r)(E,1)/r! |
Ω |
0.37409973390394 |
Real period |
R |
3.4580472192902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605d1 |
Quadratic twists by: -7 |