Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802u |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-48215654839296 = -1 · 210 · 38 · 76 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 1 5 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14121,730701] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-321:1] |
Generators of the group modulo torsion |
j |
-3630961153/562176 |
j-invariant |
L |
4.1115614921058 |
L(r)(E,1)/r! |
Ω |
0.61362185352723 |
Real period |
R |
1.6751202179617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17934w1 1098f1 |
Quadratic twists by: -3 -7 |