Atkin-Lehner |
5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
108445c |
Isogeny class |
Conductor |
108445 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
151736786225 = 52 · 236 · 41 |
Discriminant |
Eigenvalues |
1 2 5+ -2 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1333,-288] |
[a1,a2,a3,a4,a6] |
Generators |
[864:24960:1] [-1836:8853:64] |
Generators of the group modulo torsion |
j |
1771561/1025 |
j-invariant |
L |
16.626326124529 |
L(r)(E,1)/r! |
Ω |
0.86945171073475 |
Real period |
R |
9.5613855952196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
205c1 |
Quadratic twists by: -23 |