Atkin-Lehner |
2+ 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590i |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
687436416000 = 210 · 33 · 53 · 193 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1554024,746038080] |
[a1,a2,a3,a4,a6] |
Generators |
[236523:-22041896:27] |
Generators of the group modulo torsion |
j |
15372102447389483208603/25460608000 |
j-invariant |
L |
5.4075140331333 |
L(r)(E,1)/r! |
Ω |
0.58377849477359 |
Real period |
R |
9.2629551816821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
49590bb3 |
Quadratic twists by: -3 |