Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730bz |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1457064000 = 26 · 32 · 53 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9661,-369517] |
[a1,a2,a3,a4,a6] |
j |
290735890851223/4248000 |
j-invariant |
L |
2.8893185957478 |
L(r)(E,1)/r! |
Ω |
0.48155309753686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86730cq1 |
Quadratic twists by: -7 |