Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
39900f |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
13104000 |
Modular degree for the optimal curve |
Δ |
-1.6197149934827E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18703958,-613103390463] |
[a1,a2,a3,a4,a6] |
Generators |
[2737270:-384822333:125] |
Generators of the group modulo torsion |
j |
-4631314408167289600/1036617595828940223 |
j-invariant |
L |
5.7857654405449 |
L(r)(E,1)/r! |
Ω |
0.025654140427508 |
Real period |
R |
2.6848749893265 |
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 |
119700bb1 39900y1 |
Quadratic twists by: -3 5 |