Atkin-Lehner |
2+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800m |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
318950604800 = 220 · 52 · 233 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 -3 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2433,-38177] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:64:1] |
Generators of the group modulo torsion |
j |
243135625/48668 |
j-invariant |
L |
3.4522971279349 |
L(r)(E,1)/r! |
Ω |
0.68927086030215 |
Real period |
R |
1.2521554757227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800cv1 1150f1 36800bs1 |
Quadratic twists by: -4 8 5 |