Atkin-Lehner |
2+ 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
42210b |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
9076838400 = 212 · 33 · 52 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-525,-539] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:56:1] |
Generators of the group modulo torsion |
j |
593339266827/336179200 |
j-invariant |
L |
3.8850742275609 |
L(r)(E,1)/r! |
Ω |
1.0759968483231 |
Real period |
R |
0.90266858904303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42210p1 |
Quadratic twists by: -3 |