Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108300bk |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3283200 |
Modular degree for the optimal curve |
Δ |
1.5125985833391E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 6 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1428958,286109213] |
[a1,a2,a3,a4,a6] |
Generators |
[-244834649577920804487:16636486160041347878657:583926979044954537] |
Generators of the group modulo torsion |
j |
6400/3 |
j-invariant |
L |
9.8465406785574 |
L(r)(E,1)/r! |
Ω |
0.16329174562374 |
Real period |
R |
30.15014825442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108300z1 108300b1 |
Quadratic twists by: 5 -19 |