Atkin-Lehner |
2- 3+ 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
89082bd |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-672826807812096 = -1 · 221 · 33 · 76 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,21526,-287703] |
[a1,a2,a3,a4,a6] |
Generators |
[17:279:1] [65:1143:1] |
Generators of the group modulo torsion |
j |
347280685389/211812352 |
j-invariant |
L |
13.88785629834 |
L(r)(E,1)/r! |
Ω |
0.29581636631146 |
Real period |
R |
0.55889951142083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998505 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89082d2 1818i1 |
Quadratic twists by: -3 -7 |