Atkin-Lehner |
2+ 3+ 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
42642b |
Isogeny class |
Conductor |
42642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
255852 = 22 · 33 · 23 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 5 -3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-318,2264] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-8:1] |
Generators of the group modulo torsion |
j |
131949968571/9476 |
j-invariant |
L |
3.3225908188614 |
L(r)(E,1)/r! |
Ω |
2.9593299288419 |
Real period |
R |
0.28068776536857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42642i1 |
Quadratic twists by: -3 |