Atkin-Lehner |
19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
35131b |
Isogeny class |
Conductor |
35131 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2143680 |
Modular degree for the optimal curve |
Δ |
-3.3547503994911E+20 |
Discriminant |
Eigenvalues |
0 2 2 -4 3 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-30784617,-65738528417] |
[a1,a2,a3,a4,a6] |
j |
-510404220761669632/53070047923 |
j-invariant |
L |
2.0509892492825 |
L(r)(E,1)/r! |
Ω |
0.032046707019805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
817b1 |
Quadratic twists by: -43 |