Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
41895p |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-324768076171875 = -1 · 36 · 510 · 74 · 19 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ -5 -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-89523,-10346191] |
[a1,a2,a3,a4,a6] |
Generators |
[4279230855094:-98173259162493:6290643736] |
Generators of the group modulo torsion |
j |
-45332315836416/185546875 |
j-invariant |
L |
9.8050582187942 |
L(r)(E,1)/r! |
Ω |
0.13796836649656 |
Real period |
R |
17.76685929495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655n1 41895bo1 |
Quadratic twists by: -3 -7 |