Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34400c |
Isogeny class |
Conductor |
34400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-68800000000 = -1 · 212 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 5 -1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15533,750437] |
[a1,a2,a3,a4,a6] |
Generators |
[127:900:1] |
Generators of the group modulo torsion |
j |
-6476460544/1075 |
j-invariant |
L |
8.000372204329 |
L(r)(E,1)/r! |
Ω |
1.0625355817646 |
Real period |
R |
1.8823774802538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34400k1 68800ds1 6880i1 |
Quadratic twists by: -4 8 5 |