Atkin-Lehner |
2+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120472c |
Isogeny class |
Conductor |
120472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-2138625328052224 = -1 · 211 · 11 · 377 |
Discriminant |
Eigenvalues |
2+ 2 -1 -2 11+ 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-456,2225132] |
[a1,a2,a3,a4,a6] |
Generators |
[180293551:7512039774:103823] |
Generators of the group modulo torsion |
j |
-2/407 |
j-invariant |
L |
8.5610812071042 |
L(r)(E,1)/r! |
Ω |
0.36917168884766 |
Real period |
R |
11.59498601596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3256a1 |
Quadratic twists by: 37 |