Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120bl |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1413120 |
Modular degree for the optimal curve |
Δ |
-7.2795912117623E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1952781,1128354885] |
[a1,a2,a3,a4,a6] |
Generators |
[3399:183708:1] |
Generators of the group modulo torsion |
j |
-201059505072925571584/17772439481841555 |
j-invariant |
L |
4.4947169055566 |
L(r)(E,1)/r! |
Ω |
0.19002796844739 |
Real period |
R |
1.1826461499949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57120bv1 114240kn1 |
Quadratic twists by: -4 8 |