Atkin-Lehner |
2+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
90304k |
Isogeny class |
Conductor |
90304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-83497419819450368 = -1 · 233 · 17 · 833 |
Discriminant |
Eigenvalues |
2+ -1 0 -4 3 7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25567,13804705] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-4096:1] |
Generators of the group modulo torsion |
j |
7050275984375/318517379072 |
j-invariant |
L |
4.0807414510714 |
L(r)(E,1)/r! |
Ω |
0.25899496153055 |
Real period |
R |
1.3130054152666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90304s2 2822a2 |
Quadratic twists by: -4 8 |