Atkin-Lehner |
3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41895g |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
73933572825 = 33 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1112,-5414] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:86:1] |
Generators of the group modulo torsion |
j |
47832147/23275 |
j-invariant |
L |
4.0931929155537 |
L(r)(E,1)/r! |
Ω |
0.86834304933816 |
Real period |
R |
1.1784492657236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41895b1 5985b1 |
Quadratic twists by: -3 -7 |