Atkin-Lehner |
2- 3- 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450cj |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1142784 |
Modular degree for the optimal curve |
Δ |
-36154322715937500 = -1 · 22 · 32 · 57 · 193 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50588,-10146708] |
[a1,a2,a3,a4,a6] |
Generators |
[13214:524861:8] |
Generators of the group modulo torsion |
j |
-916319127677689/2313876653820 |
j-invariant |
L |
13.036835646965 |
L(r)(E,1)/r! |
Ω |
0.14819720799585 |
Real period |
R |
3.6653962167117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958575 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21090b1 |
Quadratic twists by: 5 |