Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41895t |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-16967475 = -1 · 36 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2478,47479] |
[a1,a2,a3,a4,a6] |
Generators |
[29:2:1] |
Generators of the group modulo torsion |
j |
-47109013504/475 |
j-invariant |
L |
5.2417507847065 |
L(r)(E,1)/r! |
Ω |
1.9829192964465 |
Real period |
R |
0.66086284929795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655p1 41895bg1 |
Quadratic twists by: -3 -7 |