Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6300h |
Isogeny class |
Conductor |
6300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-2551500000000 = -1 · 28 · 36 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1200,78500] |
[a1,a2,a3,a4,a6] |
Generators |
[20:250:1] |
Generators of the group modulo torsion |
j |
-65536/875 |
j-invariant |
L |
3.7968724171751 |
L(r)(E,1)/r! |
Ω |
0.68850348949447 |
Real period |
R |
0.45955618176592 |
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 |
25200em1 100800do1 700a1 1260g1 |
Quadratic twists by: -4 8 -3 5 |