Atkin-Lehner |
2+ 3- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280o |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-5443997040 = -1 · 24 · 36 · 5 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -2 -3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1503,22707] |
[a1,a2,a3,a4,a6] |
Generators |
[39:153:1] |
Generators of the group modulo torsion |
j |
-32192384256/466735 |
j-invariant |
L |
3.7492335089993 |
L(r)(E,1)/r! |
Ω |
1.3597680963508 |
Real period |
R |
0.22977162747976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999121853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12920k1 |
Quadratic twists by: -3 |