Atkin-Lehner |
2- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584co |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-51645087424 = -1 · 26 · 76 · 193 |
Discriminant |
Eigenvalues |
2- 2 3 7- 3 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1829,-31429] |
[a1,a2,a3,a4,a6] |
Generators |
[39491216991127418330:747294455075136103407:108391462794159875] |
Generators of the group modulo torsion |
j |
-89915392/6859 |
j-invariant |
L |
11.67029283601 |
L(r)(E,1)/r! |
Ω |
0.36341107507459 |
Real period |
R |
32.113200825304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584bn2 14896bg2 1216q2 |
Quadratic twists by: -4 8 -7 |