Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65025ce |
Isogeny class |
Conductor |
65025 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-116850348678515625 = -1 · 36 · 58 · 177 |
Discriminant |
Eigenvalues |
-1 3- 5- -1 -4 -1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-196430,-37278178] |
[a1,a2,a3,a4,a6] |
Generators |
[14988:126155:27] |
Generators of the group modulo torsion |
j |
-121945/17 |
j-invariant |
L |
2.6489424460483 |
L(r)(E,1)/r! |
Ω |
0.11251719664372 |
Real period |
R |
3.9237593970368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000355 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7225h1 65025bj1 3825l1 |
Quadratic twists by: -3 5 17 |