Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
42210u |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
35448295680 = 28 · 310 · 5 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35663,-2583273] |
[a1,a2,a3,a4,a6] |
Generators |
[-55608:28833:512] |
Generators of the group modulo torsion |
j |
6880791336690601/48625920 |
j-invariant |
L |
9.2317292695642 |
L(r)(E,1)/r! |
Ω |
0.34741312507238 |
Real period |
R |
6.6431926453845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070b1 |
Quadratic twists by: -3 |