Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690f |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648000 |
Modular degree for the optimal curve |
Δ |
4.76948510225E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2190951560,-39472192565184] |
[a1,a2,a3,a4,a6] |
Generators |
[11548732070408902965139360:2816198784725901326509619096:129436040129303626181] |
Generators of the group modulo torsion |
j |
656547162459736668851166129/26922500000000 |
j-invariant |
L |
3.4205845782113 |
L(r)(E,1)/r! |
Ω |
0.02206690171672 |
Real period |
R |
38.752433646127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790m1 |
Quadratic twists by: -11 |