Atkin-Lehner |
2- 3+ 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86580c |
Isogeny class |
Conductor |
86580 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9024 |
Modular degree for the optimal curve |
Δ |
-1038960 = -1 · 24 · 33 · 5 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 3 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3,49] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] |
Generators of the group modulo torsion |
j |
6912/2405 |
j-invariant |
L |
7.5598684297603 |
L(r)(E,1)/r! |
Ω |
2.1482631234196 |
Real period |
R |
1.7595303723198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86580a1 |
Quadratic twists by: -3 |