Atkin-Lehner |
2- 3+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152o |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
293513447079936 = 222 · 34 · 29 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 -2 0 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16856,179184] |
[a1,a2,a3,a4,a6] |
j |
129316248370009/71658556416 |
j-invariant |
L |
1.897310552561 |
L(r)(E,1)/r! |
Ω |
0.4743276381588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5394f1 129456br1 |
Quadratic twists by: -4 -3 |