Atkin-Lehner |
2+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350c |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29232000 |
Modular degree for the optimal curve |
Δ |
-6.4981943713792E+24 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 2 2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54195251,196525576398] |
[a1,a2,a3,a4,a6] |
j |
-195435318335123041/72142028800000 |
j-invariant |
L |
1.1312011811897 |
L(r)(E,1)/r! |
Ω |
0.070700035272813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21070v1 105350t1 |
Quadratic twists by: 5 -7 |