Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36800cq |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-96468992000000 = -1 · 228 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 2 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16300,930000] |
[a1,a2,a3,a4,a6] |
Generators |
[300:4800:1] |
Generators of the group modulo torsion |
j |
-116930169/23552 |
j-invariant |
L |
3.9951099837195 |
L(r)(E,1)/r! |
Ω |
0.57503229066778 |
Real period |
R |
3.4738136001706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36800d1 9200ba1 1472i1 |
Quadratic twists by: -4 8 5 |