Atkin-Lehner |
3- 7- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
84987o |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-354708621027681039 = -1 · 324 · 72 · 192 · 71 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,96871,-26223672] |
[a1,a2,a3,a4,a6] |
Generators |
[11199:243587:27] |
Generators of the group modulo torsion |
j |
137905547173572023/486568753124391 |
j-invariant |
L |
4.7482950175385 |
L(r)(E,1)/r! |
Ω |
0.15414848613436 |
Real period |
R |
7.700846010928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28329a2 |
Quadratic twists by: -3 |