Atkin-Lehner |
2+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68728c |
Isogeny class |
Conductor |
68728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-29464914346736 = -1 · 24 · 1110 · 71 |
Discriminant |
Eigenvalues |
2+ -1 1 0 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4880,-290651] |
[a1,a2,a3,a4,a6] |
Generators |
[39684:980473:64] |
Generators of the group modulo torsion |
j |
-30976/71 |
j-invariant |
L |
4.9524619727546 |
L(r)(E,1)/r! |
Ω |
0.26694872441932 |
Real period |
R |
9.2760547636406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68728g1 |
Quadratic twists by: -11 |