Atkin-Lehner |
2+ 3- 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59202o |
Isogeny class |
Conductor |
59202 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-12343261788 = -1 · 22 · 38 · 112 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,288,-5076] |
[a1,a2,a3,a4,a6] |
Generators |
[15:42:1] |
Generators of the group modulo torsion |
j |
3616805375/16931772 |
j-invariant |
L |
5.4697337599303 |
L(r)(E,1)/r! |
Ω |
0.63859862160515 |
Real period |
R |
1.0706517315409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19734t1 |
Quadratic twists by: -3 |