Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414ci |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.1868189992565E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-99128066,341834544987] |
[a1,a2,a3,a4,a6] |
Generators |
[-3928085370842683309283001869346479988036:-299011410274907470996914314461808850842649:430900831331741995663325392364886208] |
Generators of the group modulo torsion |
j |
1246079601667529/137282971014 |
j-invariant |
L |
7.6483032867396 |
L(r)(E,1)/r! |
Ω |
0.069217464049735 |
Real period |
R |
55.248363918997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138a4 36414cs4 |
Quadratic twists by: -3 17 |