Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768x |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-834748416 = -1 · 214 · 34 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 -3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-465,3951] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:24:1] [15:24:1] |
Generators of the group modulo torsion |
j |
-680136784/50949 |
j-invariant |
L |
14.410112038163 |
L(r)(E,1)/r! |
Ω |
1.5560696033497 |
Real period |
R |
0.57878645041231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768bx1 7548b1 |
Quadratic twists by: -4 8 |