Atkin-Lehner |
2+ 3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210bc |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-32527659050460 = -1 · 22 · 38 · 5 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18303,990238] |
[a1,a2,a3,a4,a6] |
Generators |
[32:645:1] |
Generators of the group modulo torsion |
j |
-5763259856089/276480540 |
j-invariant |
L |
7.1333121794164 |
L(r)(E,1)/r! |
Ω |
0.65011168801995 |
Real period |
R |
0.6857775662655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030c1 |
Quadratic twists by: -7 |