Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672bs |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-12074506256384 = -1 · 219 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ -1 3 1 11- 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3711,-143999] |
[a1,a2,a3,a4,a6] |
Generators |
[5120:34243:125] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
7.8736055877009 |
L(r)(E,1)/r! |
Ω |
0.37089926155741 |
Real period |
R |
5.3071051934043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998395 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672dq1 3146l1 832c1 |
Quadratic twists by: -4 8 -11 |