Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094a |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-50661522576 = -1 · 24 · 39 · 74 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 2 -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-744,-13168] |
[a1,a2,a3,a4,a6] |
Generators |
[37:76:1] |
Generators of the group modulo torsion |
j |
-964467/1072 |
j-invariant |
L |
5.5518326552582 |
L(r)(E,1)/r! |
Ω |
0.43798236606433 |
Real period |
R |
1.0563272796286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094be1 59094e1 |
Quadratic twists by: -3 -7 |