Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152d |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2315310345216 = -1 · 210 · 310 · 11 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4544,140304] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:472:1] |
Generators of the group modulo torsion |
j |
-10135246028548/2261045259 |
j-invariant |
L |
4.3381891454982 |
L(r)(E,1)/r! |
Ω |
0.78236305381051 |
Real period |
R |
1.3862455302461 |
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 |
15576c2 124608cw2 93456f2 |
Quadratic twists by: -4 8 -3 |