Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
20181m |
Isogeny class |
Conductor |
20181 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-6.9944692694811E+19 |
Discriminant |
Eigenvalues |
1 3- -2 7- -2 -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5378257,4817149415] |
[a1,a2,a3,a4,a6] |
Generators |
[1165:10949:1] [5910:279575:8] |
Generators of the group modulo torsion |
j |
-19385548183592137/78810594471 |
j-invariant |
L |
9.32404474872 |
L(r)(E,1)/r! |
Ω |
0.19585543275585 |
Real period |
R |
2.3803385531671 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60543q1 651a1 |
Quadratic twists by: -3 -31 |