Atkin-Lehner |
2+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
108224b |
Isogeny class |
Conductor |
108224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119296 |
Modular degree for the optimal curve |
Δ |
-19726204928 = -1 · 217 · 19 · 892 |
Discriminant |
Eigenvalues |
2+ -1 -2 -5 -2 -3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4769,128545] |
[a1,a2,a3,a4,a6] |
Generators |
[41:16:1] [48:89:1] |
Generators of the group modulo torsion |
j |
-91534922066/150499 |
j-invariant |
L |
5.7979433818406 |
L(r)(E,1)/r! |
Ω |
1.217727970984 |
Real period |
R |
0.59515995365423 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108224d1 13528a1 |
Quadratic twists by: -4 8 |