Atkin-Lehner |
2- 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
87514j |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
495072 |
Modular degree for the optimal curve |
Δ |
-2718201105001984 = -1 · 29 · 74 · 196 · 47 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 1 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-67621,7189867] |
[a1,a2,a3,a4,a6] |
Generators |
[6285:51716:27] |
Generators of the group modulo torsion |
j |
-14242188199740529/1132112080384 |
j-invariant |
L |
13.814919061089 |
L(r)(E,1)/r! |
Ω |
0.44542682156743 |
Real period |
R |
1.7230563270869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87514s1 |
Quadratic twists by: -7 |