Atkin-Lehner |
3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60543l |
Isogeny class |
Conductor |
60543 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2499840 |
Modular degree for the optimal curve |
Δ |
-6.6629406076816E+19 |
Discriminant |
Eigenvalues |
2 3- 2 7- -2 7 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1161849,621760513] |
[a1,a2,a3,a4,a6] |
Generators |
[68338:6268777:8] |
Generators of the group modulo torsion |
j |
-278966272/107163 |
j-invariant |
L |
15.408947823393 |
L(r)(E,1)/r! |
Ω |
0.18392072471572 |
Real period |
R |
10.472547239691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20181e1 60543s1 |
Quadratic twists by: -3 -31 |