Atkin-Lehner |
2- 7+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
79618x |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-5270607431263584256 = -1 · 224 · 73 · 117 · 47 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 11- -2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7180082,7405517956] |
[a1,a2,a3,a4,a6] |
Generators |
[-2300:109566:1] [1540:-1794:1] |
Generators of the group modulo torsion |
j |
-23107651939347894073/2975120490496 |
j-invariant |
L |
8.7564168817869 |
L(r)(E,1)/r! |
Ω |
0.23288276563876 |
Real period |
R |
0.39166778013598 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7238d2 |
Quadratic twists by: -11 |