Atkin-Lehner |
3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75645f |
Isogeny class |
Conductor |
75645 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
1390486344075 = 39 · 52 · 414 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 3 1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2837,13474] |
[a1,a2,a3,a4,a6] |
Generators |
[52:41:1] |
Generators of the group modulo torsion |
j |
45387/25 |
j-invariant |
L |
5.3772414101346 |
L(r)(E,1)/r! |
Ω |
0.74221110024874 |
Real period |
R |
1.8112237230015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75645c1 75645e1 |
Quadratic twists by: -3 41 |