Atkin-Lehner |
2+ 3+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72624d |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-42193963008 = -1 · 211 · 32 · 172 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 0 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,9936] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:38:1] [-6:102:1] |
Generators of the group modulo torsion |
j |
-94091762/20602521 |
j-invariant |
L |
7.0706391902217 |
L(r)(E,1)/r! |
Ω |
0.93234183750672 |
Real period |
R |
1.8959352958594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36312d2 |
Quadratic twists by: -4 |