Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800bu |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-16912613376000 = -1 · 220 · 37 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 6 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23168,-1363968] |
[a1,a2,a3,a4,a6] |
Generators |
[267542:1910470:1331] |
Generators of the group modulo torsion |
j |
-2686198671701/33032448 |
j-invariant |
L |
6.9321155792441 |
L(r)(E,1)/r! |
Ω |
0.19334275048764 |
Real period |
R |
8.9635059500896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8850bh1 70800cz1 |
Quadratic twists by: -4 5 |