Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600cp |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.3162146875E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,567992,162882488] |
[a1,a2,a3,a4,a6] |
Generators |
[-1718:44577:8] |
Generators of the group modulo torsion |
j |
21531355768/24609375 |
j-invariant |
L |
8.6797775489983 |
L(r)(E,1)/r! |
Ω |
0.14238809463448 |
Real period |
R |
7.6198237342935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000098142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600m2 23520bj2 16800h4 |
Quadratic twists by: -4 5 -7 |