Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380k |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-139541377667978160 = -1 · 24 · 36 · 5 · 73 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,120995,7743862] |
[a1,a2,a3,a4,a6] |
Generators |
[63055:1753941:125] |
Generators of the group modulo torsion |
j |
507234615296/361317915 |
j-invariant |
L |
6.3696086812266 |
L(r)(E,1)/r! |
Ω |
0.20765131190026 |
Real period |
R |
5.1124234970749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006724 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140i1 |
Quadratic twists by: 17 |