Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960br |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-222805765324800 = -1 · 216 · 310 · 52 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35896,-2702480] |
[a1,a2,a3,a4,a6] |
Generators |
[444:8288:1] |
Generators of the group modulo torsion |
j |
-1248860795523769/54395938800 |
j-invariant |
L |
4.5176200227382 |
L(r)(E,1)/r! |
Ω |
0.17298247775651 |
Real period |
R |
3.2645069607069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002228 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870f1 |
Quadratic twists by: -4 |