Atkin-Lehner |
2+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81928f |
Isogeny class |
Conductor |
81928 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-43175293086464 = -1 · 28 · 76 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 11+ -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30249,2059597] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:1862:1] |
Generators of the group modulo torsion |
j |
-101634915328/1433531 |
j-invariant |
L |
5.7303340602678 |
L(r)(E,1)/r! |
Ω |
0.6435688824109 |
Real period |
R |
0.27824984125047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1672b1 |
Quadratic twists by: -7 |