Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630dg |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-192424964371290 = -1 · 2 · 34 · 5 · 710 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -3 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11955,439515] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:3561:8] |
Generators of the group modulo torsion |
j |
668944031/681210 |
j-invariant |
L |
11.128584745959 |
L(r)(E,1)/r! |
Ω |
0.37387067732673 |
Real period |
R |
3.7207333380394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890bu1 42630by1 |
Quadratic twists by: -3 -7 |