Atkin-Lehner |
2- 3+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
48336bd |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4627597381632 = -1 · 212 · 310 · 192 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 -2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2984,81328] |
[a1,a2,a3,a4,a6] |
Generators |
[-2630:11718:125] |
Generators of the group modulo torsion |
j |
717157709351/1129784517 |
j-invariant |
L |
7.1063920067574 |
L(r)(E,1)/r! |
Ω |
0.52656541995637 |
Real period |
R |
6.7478719048287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3021a2 |
Quadratic twists by: -4 |