Atkin-Lehner |
2- 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176bb |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-754316516261888 = -1 · 234 · 232 · 83 |
Discriminant |
Eigenvalues |
2- 1 -2 -1 -5 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4191,-1315873] |
[a1,a2,a3,a4,a6] |
Generators |
[106:575:1] |
Generators of the group modulo torsion |
j |
31047965207/2877489152 |
j-invariant |
L |
3.5263431192558 |
L(r)(E,1)/r! |
Ω |
0.2401344371425 |
Real period |
R |
3.6712175702497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000016963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176t1 30544l1 |
Quadratic twists by: -4 8 |