Atkin-Lehner |
2+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
109504i |
Isogeny class |
Conductor |
109504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-423410794496 = -1 · 222 · 29 · 592 |
Discriminant |
Eigenvalues |
2+ 3 -3 -2 3 5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50284,4340144] |
[a1,a2,a3,a4,a6] |
j |
-53638082426097/1615184 |
j-invariant |
L |
3.5150197577765 |
L(r)(E,1)/r! |
Ω |
0.87875496906262 |
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 |
109504x1 3422h1 |
Quadratic twists by: -4 8 |