Atkin-Lehner |
2- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
63296r |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11328 |
Modular degree for the optimal curve |
Δ |
-23292928 = -1 · 210 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 2 0 0 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27,-235] |
[a1,a2,a3,a4,a6] |
Generators |
[372615:3901436:3375] |
Generators of the group modulo torsion |
j |
2048000/22747 |
j-invariant |
L |
9.9444227027702 |
L(r)(E,1)/r! |
Ω |
1.0515222885026 |
Real period |
R |
9.4571677760274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63296i1 15824d1 |
Quadratic twists by: -4 8 |