Atkin-Lehner |
2+ 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042a |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-411143524124196864 = -1 · 221 · 3 · 74 · 115 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11+ 13+ 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-758006,-256196268] |
[a1,a2,a3,a4,a6] |
Generators |
[750987:5152438:729] |
Generators of the group modulo torsion |
j |
-20060898344744159497/171238452363264 |
j-invariant |
L |
4.4393567539435 |
L(r)(E,1)/r! |
Ω |
0.080859320842792 |
Real period |
R |
9.1503710965141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126el1 42042bf1 |
Quadratic twists by: -3 -7 |