Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490bx |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-7668031803840 = -1 · 26 · 33 · 5 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 6 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7388,-276513] |
[a1,a2,a3,a4,a6] |
Generators |
[2358:37257:8] |
Generators of the group modulo torsion |
j |
-1860867/320 |
j-invariant |
L |
11.622739297418 |
L(r)(E,1)/r! |
Ω |
0.25508341520661 |
Real period |
R |
3.7970387336826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000267 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86490j3 90b1 |
Quadratic twists by: -3 -31 |