Atkin-Lehner |
2+ 3- 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526q |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
880213333087024272 = 24 · 37 · 7 · 176 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-527247,140404509] |
[a1,a2,a3,a4,a6] |
Generators |
[-7727670:2033620417:157464] |
Generators of the group modulo torsion |
j |
22235095499418096625/1207425696964368 |
j-invariant |
L |
5.3032541700985 |
L(r)(E,1)/r! |
Ω |
0.27668118068442 |
Real period |
R |
9.5836914954587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025533 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
37842u3 |
Quadratic twists by: -3 |