Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73206k |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-96869746089144 = -1 · 23 · 311 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -1 -2 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6183,-507627] |
[a1,a2,a3,a4,a6] |
Generators |
[121:650:1] |
Generators of the group modulo torsion |
j |
-304821217/1129464 |
j-invariant |
L |
5.4384193187854 |
L(r)(E,1)/r! |
Ω |
0.24651345532464 |
Real period |
R |
2.7576685983824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24402bd1 10458l1 |
Quadratic twists by: -3 -7 |