Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
74700y |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4907520 |
Modular degree for the optimal curve |
Δ |
-200974378668750000 = -1 · 24 · 318 · 58 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 5 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73893000,244485475625] |
[a1,a2,a3,a4,a6] |
Generators |
[3550:164025:1] |
Generators of the group modulo torsion |
j |
-9793232457951477760/44109603 |
j-invariant |
L |
5.9560980016647 |
L(r)(E,1)/r! |
Ω |
0.2141126708397 |
Real period |
R |
0.77271076973493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900g1 74700f1 |
Quadratic twists by: -3 5 |