Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cf |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1168650000000 = 27 · 32 · 58 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-904588,330772781] |
[a1,a2,a3,a4,a6] |
Generators |
[545:-423:1] |
Generators of the group modulo torsion |
j |
5239093905258523129/74793600 |
j-invariant |
L |
6.9276230333279 |
L(r)(E,1)/r! |
Ω |
0.61527307581683 |
Real period |
R |
0.40212243646071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130n2 |
Quadratic twists by: 5 |