Atkin-Lehner |
2+ 23- 79- |
Signs for the Atkin-Lehner involutions |
Class |
83582k |
Isogeny class |
Conductor |
83582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-8607398730016 = -1 · 25 · 237 · 79 |
Discriminant |
Eigenvalues |
2+ -2 -3 -2 0 6 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-805,141360] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:288:1] |
Generators of the group modulo torsion |
j |
-389017/58144 |
j-invariant |
L |
1.4590947653209 |
L(r)(E,1)/r! |
Ω |
0.60066701195824 |
Real period |
R |
0.60728104345147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3634c1 |
Quadratic twists by: -23 |