Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672ec |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
131753070592 = 212 · 114 · 133 |
Discriminant |
Eigenvalues |
2- -1 -4 -2 11- 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12745,557801] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-572:1] [-53:1040:1] |
Generators of the group modulo torsion |
j |
3818094016/2197 |
j-invariant |
L |
6.4961505308592 |
L(r)(E,1)/r! |
Ω |
1.0275083792888 |
Real period |
R |
0.35123533689862 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985801 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672dt1 50336c1 100672dc1 |
Quadratic twists by: -4 8 -11 |