Atkin-Lehner |
2- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
62300t |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19776 |
Modular degree for the optimal curve |
Δ |
-1774304000 = -1 · 28 · 53 · 7 · 892 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -1 -3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27,2017] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:35:1] [31:178:1] |
Generators of the group modulo torsion |
j |
65536/55447 |
j-invariant |
L |
8.4792772901429 |
L(r)(E,1)/r! |
Ω |
1.1623121439585 |
Real period |
R |
0.60793173720129 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62300o1 |
Quadratic twists by: 5 |