Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630de |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
488698322212800 = 26 · 32 · 52 · 79 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2927555,-1928237823] |
[a1,a2,a3,a4,a6] |
Generators |
[66154:16976293:1] |
Generators of the group modulo torsion |
j |
68763274571205703/12110400 |
j-invariant |
L |
11.727836722345 |
L(r)(E,1)/r! |
Ω |
0.11541793311407 |
Real period |
R |
4.2338296159578 |
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 |
127890bt2 42630cd2 |
Quadratic twists by: -3 -7 |