Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050v |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-69336225078125000 = -1 · 23 · 510 · 316 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 3 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3015638,2015446892] |
[a1,a2,a3,a4,a6] |
Generators |
[113230:595904:125] |
Generators of the group modulo torsion |
j |
-349938025/8 |
j-invariant |
L |
10.024496169189 |
L(r)(E,1)/r! |
Ω |
0.32080045667251 |
Real period |
R |
5.2080641619532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48050l2 50b4 |
Quadratic twists by: 5 -31 |