Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608g |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-429818398801127424 = -1 · 211 · 318 · 114 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11+ -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250419,-57631790] |
[a1,a2,a3,a4,a6] |
Generators |
[8751270:-181861115:10648] |
Generators of the group modulo torsion |
j |
-1163236610689634/287890624197 |
j-invariant |
L |
5.5639254016846 |
L(r)(E,1)/r! |
Ω |
0.10533607409625 |
Real period |
R |
13.205175551531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29304f3 19536p4 |
Quadratic twists by: -4 -3 |