Atkin-Lehner |
2- 3- 5+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270be |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61696 |
Modular degree for the optimal curve |
Δ |
-705723030 = -1 · 2 · 37 · 5 · 232 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -6 -5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,202,587] |
[a1,a2,a3,a4,a6] |
Generators |
[150:749:8] |
Generators of the group modulo torsion |
j |
1256216039/968070 |
j-invariant |
L |
8.5445012328385 |
L(r)(E,1)/r! |
Ω |
1.0310331156 |
Real period |
R |
2.0718299692559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42090k1 |
Quadratic twists by: -3 |