Atkin-Lehner |
2+ 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
67416a |
Isogeny class |
Conductor |
67416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
8629248 = 210 · 3 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -3 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,316] |
[a1,a2,a3,a4,a6] |
Generators |
[2:12:1] |
Generators of the group modulo torsion |
j |
26500/3 |
j-invariant |
L |
4.8361888700199 |
L(r)(E,1)/r! |
Ω |
2.24589094372 |
Real period |
R |
1.0766749123744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67416h1 |
Quadratic twists by: 53 |