Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150be |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
21400641293184000 = 210 · 36 · 53 · 475 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 3 -1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80127,-5144819] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:1969:1] |
Generators of the group modulo torsion |
j |
624346768216709/234849287168 |
j-invariant |
L |
4.5970196670314 |
L(r)(E,1)/r! |
Ω |
0.29283350376871 |
Real period |
R |
3.9246018709169 |
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 |
2350n2 21150cs2 |
Quadratic twists by: -3 5 |