Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648bd |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2626560 |
Modular degree for the optimal curve |
Δ |
-4.2616373329497E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 4 -1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5420896,4956656096] |
[a1,a2,a3,a4,a6] |
Generators |
[14506:264393:8] |
Generators of the group modulo torsion |
j |
-506498610818/12252303 |
j-invariant |
L |
7.325650217279 |
L(r)(E,1)/r! |
Ω |
0.16742490816444 |
Real period |
R |
7.2924734811541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121296j1 60648g1 |
Quadratic twists by: -4 -19 |