Atkin-Lehner |
2+ 3- 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38106b |
Isogeny class |
Conductor |
38106 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-16486045363926 = -1 · 2 · 37 · 294 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11223,500395] |
[a1,a2,a3,a4,a6] |
Generators |
[-402:7939:8] [41:-349:1] |
Generators of the group modulo torsion |
j |
-214459277895793/22614602694 |
j-invariant |
L |
5.0296619514856 |
L(r)(E,1)/r! |
Ω |
0.677416504622 |
Real period |
R |
3.7123851553424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12702d2 |
Quadratic twists by: -3 |