Atkin-Lehner |
2+ 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29610f |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2129920 |
Modular degree for the optimal curve |
Δ |
-2.5098405884611E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2725380,-7423561904] |
[a1,a2,a3,a4,a6] |
j |
3070982119719227273279/34428540308108083200 |
j-invariant |
L |
0.23500719916635 |
L(r)(E,1)/r! |
Ω |
0.058751799791569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870p1 |
Quadratic twists by: -3 |