Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8700i |
Isogeny class |
Conductor |
8700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24480 |
Modular degree for the optimal curve |
Δ |
-36583500000000 = -1 · 28 · 3 · 59 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 5 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14333,726537] |
[a1,a2,a3,a4,a6] |
Generators |
[67:250:1] |
Generators of the group modulo torsion |
j |
-651321344/73167 |
j-invariant |
L |
4.173268042325 |
L(r)(E,1)/r! |
Ω |
0.63294619890615 |
Real period |
R |
1.0989001512654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34800dm1 26100bh1 8700r1 |
Quadratic twists by: -4 -3 5 |