Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60648bb |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1361920 |
Modular degree for the optimal curve |
Δ |
8852526529815290112 = 28 · 37 · 72 · 199 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5064228,-4385850624] |
[a1,a2,a3,a4,a6] |
Generators |
[-1296:1512:1] |
Generators of the group modulo torsion |
j |
173876614000/107163 |
j-invariant |
L |
7.1288738807325 |
L(r)(E,1)/r! |
Ω |
0.10064386373039 |
Real period |
R |
2.5297383184748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296h1 60648a1 |
Quadratic twists by: -4 -19 |