Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48216k |
Isogeny class |
Conductor |
48216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
178617701025792 = 211 · 32 · 78 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14128,70540] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:588:1] |
Generators of the group modulo torsion |
j |
1294429250/741321 |
j-invariant |
L |
5.1221023435999 |
L(r)(E,1)/r! |
Ω |
0.48783926238451 |
Real period |
R |
2.6248924279647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96432k2 6888a2 |
Quadratic twists by: -4 -7 |