Atkin-Lehner |
2- 3+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34224o |
Isogeny class |
Conductor |
34224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-15493512816 = -1 · 24 · 310 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 -4 -4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-430,-6761] |
[a1,a2,a3,a4,a6] |
Generators |
[41:207:1] [385:7533:1] |
Generators of the group modulo torsion |
j |
-550831403776/968344551 |
j-invariant |
L |
7.499596774383 |
L(r)(E,1)/r! |
Ω |
0.49480020220772 |
Real period |
R |
3.7892045824363 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8556e1 102672bx1 |
Quadratic twists by: -4 -3 |