Atkin-Lehner |
3- 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31635j |
Isogeny class |
Conductor |
31635 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-12332719388671875 = -1 · 38 · 59 · 19 · 373 |
Discriminant |
Eigenvalues |
0 3- 5- 2 3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,13848,5306085] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:499:1] |
Generators of the group modulo torsion |
j |
402862968406016/16917310546875 |
j-invariant |
L |
5.7760424392779 |
L(r)(E,1)/r! |
Ω |
0.30339002071361 |
Real period |
R |
1.5865283531992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10545f2 |
Quadratic twists by: -3 |