Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672cf |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-95820414976 = -1 · 215 · 113 · 133 |
Discriminant |
Eigenvalues |
2- 0 1 3 11+ 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3212,71632] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-104:1] |
Generators of the group modulo torsion |
j |
-84027672/2197 |
j-invariant |
L |
8.3901491283454 |
L(r)(E,1)/r! |
Ω |
1.0652936276634 |
Real period |
R |
0.32816261960855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999859287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672cg1 50336a1 100672cc1 |
Quadratic twists by: -4 8 -11 |