Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150ca |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
22645701562500 = 22 · 38 · 58 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8105,-160603] |
[a1,a2,a3,a4,a6] |
Generators |
[195:2278:1] |
Generators of the group modulo torsion |
j |
5168743489/1988100 |
j-invariant |
L |
7.2655825497137 |
L(r)(E,1)/r! |
Ω |
0.5198169981188 |
Real period |
R |
3.4942982703565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7050k2 4230n2 |
Quadratic twists by: -3 5 |