Atkin-Lehner |
2+ 5+ 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
102350c |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-1883240000000 = -1 · 29 · 57 · 232 · 89 |
Discriminant |
Eigenvalues |
2+ 3 5+ 2 -3 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-194317,33018341] |
[a1,a2,a3,a4,a6] |
j |
-51932273307303969/120527360 |
j-invariant |
L |
5.7560864057371 |
L(r)(E,1)/r! |
Ω |
0.71951074242001 |
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 |
20470i1 |
Quadratic twists by: 5 |