Atkin-Lehner |
2+ 3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
85782f |
Isogeny class |
Conductor |
85782 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2067120 |
Modular degree for the optimal curve |
Δ |
-1339103619898345368 = -1 · 23 · 39 · 17 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -2 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-831766,296892364] |
[a1,a2,a3,a4,a6] |
Generators |
[1615255:36962959:4913] |
Generators of the group modulo torsion |
j |
-127216673737/2676888 |
j-invariant |
L |
3.2616984477819 |
L(r)(E,1)/r! |
Ω |
0.27100409291049 |
Real period |
R |
12.035605859461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85782o1 |
Quadratic twists by: 29 |