Atkin-Lehner |
2+ 3+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62832c |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
11130500304 = 24 · 312 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-679,4774] |
[a1,a2,a3,a4,a6] |
Generators |
[38:180:1] |
Generators of the group modulo torsion |
j |
2166968031232/695656269 |
j-invariant |
L |
2.2326190179197 |
L(r)(E,1)/r! |
Ω |
1.1800579928226 |
Real period |
R |
3.783914064509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996906 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416r1 |
Quadratic twists by: -4 |