Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800hd |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-3265920000 = -1 · 210 · 36 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 0 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-3400] |
[a1,a2,a3,a4,a6] |
Generators |
[85:765:1] |
Generators of the group modulo torsion |
j |
-6400/7 |
j-invariant |
L |
7.9006538331988 |
L(r)(E,1)/r! |
Ω |
0.54992266480865 |
Real period |
R |
2.3944742112538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800qa1 12600be1 11200bh1 100800fx1 |
Quadratic twists by: -4 8 -3 5 |