Atkin-Lehner |
3+ 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10065a |
Isogeny class |
Conductor |
10065 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12359959651875 = 3 · 54 · 116 · 612 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 11+ -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8308,-240863] |
[a1,a2,a3,a4,a6] |
Generators |
[104:131:1] |
Generators of the group modulo torsion |
j |
63430020487789129/12359959651875 |
j-invariant |
L |
3.0275575786424 |
L(r)(E,1)/r! |
Ω |
0.50684192936613 |
Real period |
R |
2.9866881597866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30195q2 50325q2 110715e2 |
Quadratic twists by: -3 5 -11 |