Atkin-Lehner |
5- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44275r |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
349087130748125 = 54 · 73 · 11 · 236 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 11- -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7644733,-8138186356] |
[a1,a2,a3,a4,a6] |
Generators |
[-12774:17:8] [44682:2810573:8] |
Generators of the group modulo torsion |
j |
79055250130663427276800/558539409197 |
j-invariant |
L |
5.9273957440776 |
L(r)(E,1)/r! |
Ω |
0.090794380485026 |
Real period |
R |
10.880621525277 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44275f2 |
Quadratic twists by: 5 |