Atkin-Lehner |
2- 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630cr |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-128966833800 = -1 · 23 · 33 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-87760,-10043335] |
[a1,a2,a3,a4,a6] |
j |
-635368419908209/1096200 |
j-invariant |
L |
3.3285614290892 |
L(r)(E,1)/r! |
Ω |
0.13869005955263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890bw1 6090x1 |
Quadratic twists by: -3 -7 |