Atkin-Lehner |
2- 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
60876i |
Isogeny class |
Conductor |
60876 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
641280 |
Modular degree for the optimal curve |
Δ |
-1164672083376 = -1 · 24 · 316 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -3 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4138032,3239954273] |
[a1,a2,a3,a4,a6] |
Generators |
[1174:27:1] |
Generators of the group modulo torsion |
j |
-671827436059837333504/99851859 |
j-invariant |
L |
7.5955746816162 |
L(r)(E,1)/r! |
Ω |
0.49761393428871 |
Real period |
R |
1.2719992612721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292b1 |
Quadratic twists by: -3 |