Atkin-Lehner |
3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41895bu |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-13367454015234375 = -1 · 37 · 58 · 77 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88209,11538288] |
[a1,a2,a3,a4,a6] |
Generators |
[366:21867:8] |
Generators of the group modulo torsion |
j |
-885012508801/155859375 |
j-invariant |
L |
6.8656635144643 |
L(r)(E,1)/r! |
Ω |
0.38267939464349 |
Real period |
R |
1.1213145407355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13965s1 5985h1 |
Quadratic twists by: -3 -7 |