Atkin-Lehner |
3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24225a |
Isogeny class |
Conductor |
24225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
742732822265625 = 36 · 510 · 172 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 -4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-113688,-14743344] |
[a1,a2,a3,a4,a6] |
Generators |
[-186:197:1] |
Generators of the group modulo torsion |
j |
10400346394682041/47534900625 |
j-invariant |
L |
1.6658061672791 |
L(r)(E,1)/r! |
Ω |
0.26007003799028 |
Real period |
R |
3.20261068932 |
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 |
72675bc2 4845g2 |
Quadratic twists by: -3 5 |