Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800df |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-43335680000 = -1 · 217 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 1 5- -4 3 2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2433,46463] |
[a1,a2,a3,a4,a6] |
Generators |
[37:92:1] |
Generators of the group modulo torsion |
j |
-19450850/529 |
j-invariant |
L |
5.6036858223573 |
L(r)(E,1)/r! |
Ω |
1.1376166856316 |
Real period |
R |
1.2314529782161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800bq1 9200l1 36800ct1 |
Quadratic twists by: -4 8 5 |