Atkin-Lehner |
5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59245a |
Isogeny class |
Conductor |
59245 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
25359533430625 = 54 · 176 · 412 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7713,98192] |
[a1,a2,a3,a4,a6] |
Generators |
[-234:4481:8] |
Generators of the group modulo torsion |
j |
2102071041/1050625 |
j-invariant |
L |
3.5977684736989 |
L(r)(E,1)/r! |
Ω |
0.59399819188017 |
Real period |
R |
6.0568677191409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
205a2 |
Quadratic twists by: 17 |