Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150cc |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
123662118164062500 = 22 · 32 · 512 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7814588,8407613292] |
[a1,a2,a3,a4,a6] |
Generators |
[1371273344:-126121421047:2097152] |
Generators of the group modulo torsion |
j |
3377706798308077972729/7914375562500 |
j-invariant |
L |
11.448993463326 |
L(r)(E,1)/r! |
Ω |
0.28558145561068 |
Real period |
R |
10.022528807814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999859 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10230b2 |
Quadratic twists by: 5 |