Atkin-Lehner |
2+ 5+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
81650b |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-42808115200 = -1 · 220 · 52 · 23 · 71 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,89,-9942] |
[a1,a2,a3,a4,a6] |
Generators |
[423:8492:1] |
Generators of the group modulo torsion |
j |
3169198895/1712324608 |
j-invariant |
L |
2.7903754500928 |
L(r)(E,1)/r! |
Ω |
0.53402035285955 |
Real period |
R |
2.6126115170817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81650w1 |
Quadratic twists by: 5 |