Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800cq |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-1150156800000000 = -1 · 223 · 33 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 13+ 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13875,-1748750] |
[a1,a2,a3,a4,a6] |
Generators |
[1378:7887:8] |
Generators of the group modulo torsion |
j |
-6838155/26624 |
j-invariant |
L |
5.145443793645 |
L(r)(E,1)/r! |
Ω |
0.20095354560885 |
Real period |
R |
6.4012851552757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5850f1 46800cp1 46800cg1 |
Quadratic twists by: -4 -3 5 |