Atkin-Lehner |
2+ 3- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
89082j |
Isogeny class |
Conductor |
89082 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-11585665695744 = -1 · 216 · 36 · 74 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 4 -1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15738,-773452] |
[a1,a2,a3,a4,a6] |
Generators |
[611:14440:1] |
Generators of the group modulo torsion |
j |
-246302130753/6619136 |
j-invariant |
L |
6.677124271806 |
L(r)(E,1)/r! |
Ω |
0.21278559399365 |
Real period |
R |
5.2299313239872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9898d1 89082r1 |
Quadratic twists by: -3 -7 |