Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042bc |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-74666874328510464 = -1 · 212 · 35 · 79 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76025,-15431524] |
[a1,a2,a3,a4,a6] |
Generators |
[1947:83986:1] |
Generators of the group modulo torsion |
j |
-1204210547119/1850314752 |
j-invariant |
L |
5.8166270739895 |
L(r)(E,1)/r! |
Ω |
0.13635886070154 |
Real period |
R |
4.2656759113864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fq1 42042o1 |
Quadratic twists by: -3 -7 |