Atkin-Lehner |
3+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
125775a |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-377325 = -1 · 33 · 52 · 13 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ -2 -2 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[60:429:1] |
Generators of the group modulo torsion |
j |
-12301875/559 |
j-invariant |
L |
6.7299508896917 |
L(r)(E,1)/r! |
Ω |
0.93416201088528 |
Real period |
R |
3.6021325993605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125775c1 125775n1 |
Quadratic twists by: -3 5 |