Atkin-Lehner |
2+ 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
60512b |
Isogeny class |
Conductor |
60512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21536 |
Modular degree for the optimal curve |
Δ |
228856384 = 26 · 312 · 612 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1261,-17220] |
[a1,a2,a3,a4,a6] |
j |
3464886379968/3575881 |
j-invariant |
L |
0.40060622553773 |
L(r)(E,1)/r! |
Ω |
0.80121245713955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60512g1 121024a2 |
Quadratic twists by: -4 8 |