Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
79800bb |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-383143740000000 = -1 · 28 · 3 · 57 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5908,959812] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1064:1] |
Generators of the group modulo torsion |
j |
-5702413264/95785935 |
j-invariant |
L |
4.4720056899995 |
L(r)(E,1)/r! |
Ω |
0.45139595229389 |
Real period |
R |
1.2383821970324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002088 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15960g1 |
Quadratic twists by: 5 |