Atkin-Lehner |
2- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400dd |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-2851635200000000 = -1 · 221 · 58 · 592 |
Discriminant |
Eigenvalues |
2- 1 5- 0 -5 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-2569537] |
[a1,a2,a3,a4,a6] |
Generators |
[1114:1475:8] |
Generators of the group modulo torsion |
j |
-625/27848 |
j-invariant |
L |
6.6445037097083 |
L(r)(E,1)/r! |
Ω |
0.20657702951056 |
Real period |
R |
2.680397928538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94400bi1 23600bf1 94400bu1 |
Quadratic twists by: -4 8 5 |