Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120400bi |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
27394560 |
Modular degree for the optimal curve |
Δ |
-2.8713566686142E+25 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -1 -4 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-513027088,4479837820948] |
[a1,a2,a3,a4,a6] |
Generators |
[12852:96922:1] |
Generators of the group modulo torsion |
j |
-145829251322736028516131385/280405924669357555712 |
j-invariant |
L |
7.9803212265856 |
L(r)(E,1)/r! |
Ω |
0.066449847348908 |
Real period |
R |
3.0023851088643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999247134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15050r1 120400cc1 |
Quadratic twists by: -4 5 |