Atkin-Lehner |
7- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44149k |
Isogeny class |
Conductor |
44149 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
275286542153 = 78 · 17 · 532 |
Discriminant |
Eigenvalues |
-1 -2 4 7- 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1716,-10697] |
[a1,a2,a3,a4,a6] |
Generators |
[2868:2011:64] |
Generators of the group modulo torsion |
j |
4750104241/2339897 |
j-invariant |
L |
3.8715991263067 |
L(r)(E,1)/r! |
Ω |
0.78003517836529 |
Real period |
R |
4.9633647733892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6307a1 |
Quadratic twists by: -7 |