Atkin-Lehner |
2- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
116272m |
Isogeny class |
Conductor |
116272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
628992 |
Modular degree for the optimal curve |
Δ |
-5658506650714112 = -1 · 221 · 137 · 43 |
Discriminant |
Eigenvalues |
2- -1 0 -1 3 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-210968,-37401872] |
[a1,a2,a3,a4,a6] |
j |
-52523718625/286208 |
j-invariant |
L |
0.44538283095853 |
L(r)(E,1)/r! |
Ω |
0.11134577358902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14534b1 8944d1 |
Quadratic twists by: -4 13 |