Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108300bq |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
41368320 |
Modular degree for the optimal curve |
Δ |
3.8690679552778E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 3 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1269829533,-17416881305937] |
[a1,a2,a3,a4,a6] |
Generators |
[-30994534305249444822:17154925252606322325:1509832508427361] |
Generators of the group modulo torsion |
j |
3333275297603584/56953125 |
j-invariant |
L |
8.5497242693024 |
L(r)(E,1)/r! |
Ω |
0.025290862708617 |
Real period |
R |
28.171321423492 |
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 |
21660a1 108300t1 |
Quadratic twists by: 5 -19 |