Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672cl |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3041280 |
Modular degree for the optimal curve |
Δ |
1.2641872815964E+20 |
Discriminant |
Eigenvalues |
2- 1 0 -2 11- 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9432353,-11140099489] |
[a1,a2,a3,a4,a6] |
Generators |
[-5475826293:1171770776:3176523] |
Generators of the group modulo torsion |
j |
1651590939625/2249728 |
j-invariant |
L |
6.5519696926079 |
L(r)(E,1)/r! |
Ω |
0.086154916280895 |
Real period |
R |
12.674783908608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672n1 25168bl1 100672dk1 |
Quadratic twists by: -4 8 -11 |