Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
60600c |
Isogeny class |
Conductor |
60600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
2556562500000000 = 28 · 34 · 513 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65754908,205251697812] |
[a1,a2,a3,a4,a6] |
Generators |
[120199854530:61431552:25672375] |
Generators of the group modulo torsion |
j |
7860465226760390503504/639140625 |
j-invariant |
L |
6.6099521073694 |
L(r)(E,1)/r! |
Ω |
0.25432441920473 |
Real period |
R |
12.995118848798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121200bd1 12120o1 |
Quadratic twists by: -4 5 |