Atkin-Lehner |
2- 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
58300i |
Isogeny class |
Conductor |
58300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-51176468750000 = -1 · 24 · 59 · 11 · 533 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 11- 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10033,-514438] |
[a1,a2,a3,a4,a6] |
Generators |
[122:250:1] [157:1325:1] |
Generators of the group modulo torsion |
j |
-446806441984/204705875 |
j-invariant |
L |
8.7860169944117 |
L(r)(E,1)/r! |
Ω |
0.23335914584505 |
Real period |
R |
1.0458387081374 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11660c2 |
Quadratic twists by: 5 |