Atkin-Lehner |
2+ 3- 5+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
126270h |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-7.9348110022656E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1759500,-1625519664] |
[a1,a2,a3,a4,a6] |
Generators |
[2205:71091:1] [3192:157380:1] |
Generators of the group modulo torsion |
j |
-826350199282396152001/1088451440640000000 |
j-invariant |
L |
7.9407073446459 |
L(r)(E,1)/r! |
Ω |
0.062484717253734 |
Real period |
R |
15.885299026419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992335 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42090y1 |
Quadratic twists by: -3 |