Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
60876d |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-92582168832 = -1 · 28 · 33 · 19 · 893 |
Discriminant |
Eigenvalues |
2- 3+ 4 -3 -5 -1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15783,-763330] |
[a1,a2,a3,a4,a6] |
Generators |
[415:8010:1] |
Generators of the group modulo torsion |
j |
-62905504858992/13394411 |
j-invariant |
L |
6.6066957543217 |
L(r)(E,1)/r! |
Ω |
0.21296911305047 |
Real period |
R |
1.7234360783344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000431 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60876b1 |
Quadratic twists by: -3 |