Atkin-Lehner |
2- 3+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
43152q |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
494208 |
Modular degree for the optimal curve |
Δ |
-348677482179723264 = -1 · 223 · 313 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 -3 -7 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,146064,-18635328] |
[a1,a2,a3,a4,a6] |
Generators |
[449:11716:1] |
Generators of the group modulo torsion |
j |
84137646555001871/85126338422784 |
j-invariant |
L |
3.2089767707707 |
L(r)(E,1)/r! |
Ω |
0.16477602983794 |
Real period |
R |
4.8686947578504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5394i1 129456bx1 |
Quadratic twists by: -4 -3 |