Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630o |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3856394923584000000 = 212 · 3 · 56 · 77 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-392172,-3136944] |
[a1,a2,a3,a4,a6] |
Generators |
[-253:9069:1] |
Generators of the group modulo torsion |
j |
56697897099098809/32778816000000 |
j-invariant |
L |
4.1421987885023 |
L(r)(E,1)/r! |
Ω |
0.20870192800344 |
Real period |
R |
3.3079065026089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890fb3 6090i3 |
Quadratic twists by: -3 -7 |