Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
59568bi |
Isogeny class |
Conductor |
59568 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-4975178928 = -1 · 24 · 3 · 175 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 0 -6 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-205,-3646] |
[a1,a2,a3,a4,a6] |
Generators |
[218:867:8] |
Generators of the group modulo torsion |
j |
-59838693376/310948683 |
j-invariant |
L |
4.6647074176193 |
L(r)(E,1)/r! |
Ω |
0.56821835094078 |
Real period |
R |
1.6418714424812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14892e1 |
Quadratic twists by: -4 |