Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630h |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
51291952185600 = 28 · 34 · 52 · 76 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68233,6823237] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:3602:1] |
Generators of the group modulo torsion |
j |
298626824461321/435974400 |
j-invariant |
L |
3.2348601049252 |
L(r)(E,1)/r! |
Ω |
0.63172698750515 |
Real period |
R |
1.2801653914227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127890fs2 870d2 |
Quadratic twists by: -3 -7 |