Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042by |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
1410695430144 = 226 · 3 · 72 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20770,1142063] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-413:1] |
Generators of the group modulo torsion |
j |
20222666908086769/28789702656 |
j-invariant |
L |
8.2794696834771 |
L(r)(E,1)/r! |
Ω |
0.85208426478508 |
Real period |
R |
0.37372024673238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126cl1 42042cu1 |
Quadratic twists by: -3 -7 |