Atkin-Lehner |
2+ 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630bu |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
-689854793323500 = -1 · 22 · 314 · 53 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9417,1214518] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:-930:1] [-71:470:1] |
Generators of the group modulo torsion |
j |
269298290468033/2011238464500 |
j-invariant |
L |
8.2251040687876 |
L(r)(E,1)/r! |
Ω |
0.37113812028961 |
Real period |
R |
0.2638314423331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890ff2 42630g2 |
Quadratic twists by: -3 -7 |