Atkin-Lehner |
2+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
854b |
Isogeny class |
Conductor |
854 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
318891962368 = 212 · 73 · 613 |
Discriminant |
Eigenvalues |
2+ 1 0 7- -3 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2801,49924] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:250:1] |
Generators of the group modulo torsion |
j |
2429070588015625/318891962368 |
j-invariant |
L |
2.00350282537 |
L(r)(E,1)/r! |
Ω |
0.9304072174876 |
Real period |
R |
1.0766806123775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6832e2 27328e2 7686t2 21350r2 |
Quadratic twists by: -4 8 -3 5 |