Atkin-Lehner |
2+ 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60352b |
Isogeny class |
Conductor |
60352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
325632 |
Modular degree for the optimal curve |
Δ |
1263987691421696 = 216 · 234 · 413 |
Discriminant |
Eigenvalues |
2+ -2 2 -4 2 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97537,11566815] |
[a1,a2,a3,a4,a6] |
Generators |
[-334:2645:1] |
Generators of the group modulo torsion |
j |
1565872564610308/19286921561 |
j-invariant |
L |
3.0364429580027 |
L(r)(E,1)/r! |
Ω |
0.48601294439328 |
Real period |
R |
3.1238293061371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000946 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60352n1 7544a1 |
Quadratic twists by: -4 8 |