Atkin-Lehner |
3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
46893s |
Isogeny class |
Conductor |
46893 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
-184189741039227 = -1 · 3 · 72 · 116 · 294 |
Discriminant |
Eigenvalues |
-2 3- 0 7- 11- -3 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-29248,2023270] |
[a1,a2,a3,a4,a6] |
Generators |
[118:478:1] |
Generators of the group modulo torsion |
j |
-56471718349312000/3758974306923 |
j-invariant |
L |
3.328327073683 |
L(r)(E,1)/r! |
Ω |
0.55940449846187 |
Real period |
R |
0.24790700667878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46893d1 |
Quadratic twists by: -7 |