Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120cn |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
432127754240 = 214 · 5 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -2 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14385,-658543] |
[a1,a2,a3,a4,a6] |
Generators |
[437:8736:1] |
Generators of the group modulo torsion |
j |
20093868785104/26374985 |
j-invariant |
L |
8.7401457136441 |
L(r)(E,1)/r! |
Ω |
0.43596718731386 |
Real period |
R |
1.6706428771041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29120u1 7280d1 |
Quadratic twists by: -4 8 |