Atkin-Lehner |
2- 3+ 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
60876h |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
39744 |
Modular degree for the optimal curve |
Δ |
5786385552 = 24 · 33 · 19 · 893 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 6 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-585,4033] |
[a1,a2,a3,a4,a6] |
j |
51251616000/13394411 |
j-invariant |
L |
2.5234864730277 |
L(r)(E,1)/r! |
Ω |
1.2617432366685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
60876f2 |
Quadratic twists by: -3 |