Atkin-Lehner |
2- 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
53808ba |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-9.0936187762838E+19 |
Discriminant |
Eigenvalues |
2- 3- -4 0 4 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1786800,-1028035116] |
[a1,a2,a3,a4,a6] |
Generators |
[15900:1997622:1] |
Generators of the group modulo torsion |
j |
-154025220294544561201/22201217715536658 |
j-invariant |
L |
5.8556974726288 |
L(r)(E,1)/r! |
Ω |
0.064773413901704 |
Real period |
R |
2.5111886703085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726d2 |
Quadratic twists by: -4 |