Atkin-Lehner |
11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58201b |
Isogeny class |
Conductor |
58201 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-11706300626444281 = -1 · 116 · 136 · 372 |
Discriminant |
Eigenvalues |
-1 0 -2 -2 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-204271,-35863264] |
[a1,a2,a3,a4,a6] |
Generators |
[4062:255154:1] |
Generators of the group modulo torsion |
j |
-532090803662937/6607901521 |
j-invariant |
L |
2.5826848181588 |
L(r)(E,1)/r! |
Ω |
0.11220105925435 |
Real period |
R |
3.8363939926223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
481a2 |
Quadratic twists by: -11 |