Atkin-Lehner |
2- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29792o |
Isogeny class |
Conductor |
29792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-21983353778176 = -1 · 212 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 2 -3 7- 0 -2 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6403,-111691] |
[a1,a2,a3,a4,a6] |
j |
25088/19 |
j-invariant |
L |
0.75853930562784 |
L(r)(E,1)/r! |
Ω |
0.3792696528153 |
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 |
29792b1 59584x1 29792f1 |
Quadratic twists by: -4 8 -7 |