Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121032a |
Isogeny class |
Conductor |
121032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-10769132328523776 = -1 · 211 · 33 · 417 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -4 0 3 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-166419,-26603506] |
[a1,a2,a3,a4,a6] |
Generators |
[14268410:339590577:17576] |
Generators of the group modulo torsion |
j |
-1940598/41 |
j-invariant |
L |
4.3476834652432 |
L(r)(E,1)/r! |
Ω |
0.11803899861333 |
Real period |
R |
9.2081507097659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997925275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121032i1 2952a1 |
Quadratic twists by: -3 41 |