Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41895bt |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-2619422125046055 = -1 · 314 · 5 · 78 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30861,1299640] |
[a1,a2,a3,a4,a6] |
Generators |
[3492452848:-98930596421:49836032] |
Generators of the group modulo torsion |
j |
37899197279/30541455 |
j-invariant |
L |
8.2158925756225 |
L(r)(E,1)/r! |
Ω |
0.29385537796533 |
Real period |
R |
13.979483092177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13965c1 5985j1 |
Quadratic twists by: -3 -7 |