Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368v |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3507840 |
Modular degree for the optimal curve |
Δ |
1.6079680861679E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 0 -4 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17210504,-19564938000] |
[a1,a2,a3,a4,a6] |
j |
327163297/93312 |
j-invariant |
L |
1.2116962976346 |
L(r)(E,1)/r! |
Ω |
0.075731018607181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5046e1 121104bw1 40368br1 |
Quadratic twists by: -4 -3 29 |