Atkin-Lehner |
2- 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150cw |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
486 |
Product of Tamagawa factors cp |
deg |
699840 |
Modular degree for the optimal curve |
Δ |
-16010152200000000 = -1 · 29 · 39 · 58 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 1 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,62737,697017] |
[a1,a2,a3,a4,a6] |
Generators |
[502:-12851:1] |
Generators of the group modulo torsion |
j |
69909224927855/40985989632 |
j-invariant |
L |
12.639558807239 |
L(r)(E,1)/r! |
Ω |
0.2376093841884 |
Real period |
R |
0.10945410560875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87150h1 |
Quadratic twists by: 5 |