Atkin-Lehner |
3- 5- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
46215j |
Isogeny class |
Conductor |
46215 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
216480 |
Modular degree for the optimal curve |
Δ |
-475238232421875 = -1 · 36 · 511 · 132 · 79 |
Discriminant |
Eigenvalues |
2 3- 5- 3 1 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,10833,954855] |
[a1,a2,a3,a4,a6] |
j |
192860111384576/651904296875 |
j-invariant |
L |
8.1871893479405 |
L(r)(E,1)/r! |
Ω |
0.37214497036722 |
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 |
5135a1 |
Quadratic twists by: -3 |