Atkin-Lehner |
3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
60333a |
Isogeny class |
Conductor |
60333 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-591047588859 = -1 · 3 · 74 · 136 · 17 |
Discriminant |
Eigenvalues |
0 3+ -1 7+ 5 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-901,-38127] |
[a1,a2,a3,a4,a6] |
j |
-16777216/122451 |
j-invariant |
L |
0.77148377561858 |
L(r)(E,1)/r! |
Ω |
0.38574188554918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
357b1 |
Quadratic twists by: 13 |