Atkin-Lehner |
3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
60543q |
Isogeny class |
Conductor |
60543 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
-5.0989680974517E+22 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 2 -4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48404309,-130063034212] |
[a1,a2,a3,a4,a6] |
j |
-19385548183592137/78810594471 |
j-invariant |
L |
2.2889319234745 |
L(r)(E,1)/r! |
Ω |
0.028611649057639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20181m1 1953e1 |
Quadratic twists by: -3 -31 |