Atkin-Lehner |
2+ 3+ 7+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
56826a |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
150676620250464 = 25 · 33 · 74 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25068,-1402640] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:332:1] [-99:368:1] |
Generators of the group modulo torsion |
j |
64525109635796571/5580615564832 |
j-invariant |
L |
6.7110221443983 |
L(r)(E,1)/r! |
Ω |
0.38151105691362 |
Real period |
R |
2.9317726720183 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56826p2 |
Quadratic twists by: -3 |