Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672q |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
-9.5589799564482E+19 |
Discriminant |
Eigenvalues |
2+ -1 1 2 11- 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1394565,-788886371] |
[a1,a2,a3,a4,a6] |
Generators |
[6780:548977:1] [797832:14655641:512] |
Generators of the group modulo torsion |
j |
-10333900063744/3293331899 |
j-invariant |
L |
10.827715230391 |
L(r)(E,1)/r! |
Ω |
0.068352494983185 |
Real period |
R |
19.801243599749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672cp1 12584b1 9152e1 |
Quadratic twists by: -4 8 -11 |