Atkin-Lehner |
3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60543c |
Isogeny class |
Conductor |
60543 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1785600 |
Modular degree for the optimal curve |
Δ |
-3.6276009975156E+20 |
Discriminant |
Eigenvalues |
0 3- 2 7+ -4 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,178746,-915901952] |
[a1,a2,a3,a4,a6] |
Generators |
[15376:1907104:1] [2769602:1629601331:8] |
Generators of the group modulo torsion |
j |
1015808/583443 |
j-invariant |
L |
9.1442280591647 |
L(r)(E,1)/r! |
Ω |
0.079441241900808 |
Real period |
R |
4.7961171470772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20181a1 60543e1 |
Quadratic twists by: -3 -31 |