Atkin-Lehner |
3- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118575q |
Isogeny class |
Conductor |
118575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-750357421875 = -1 · 36 · 59 · 17 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5- -1 1 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28805,-1874928] |
[a1,a2,a3,a4,a6] |
Generators |
[3102:52195:8] |
Generators of the group modulo torsion |
j |
-1856331989/527 |
j-invariant |
L |
3.7798872231582 |
L(r)(E,1)/r! |
Ω |
0.18322991104504 |
Real period |
R |
5.1573010777006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998739645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13175h1 118575t1 |
Quadratic twists by: -3 5 |