Atkin-Lehner |
2+ 3- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37674k |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
3.2915914272279E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87646203,315846628645] |
[a1,a2,a3,a4,a6] |
Generators |
[4478:112421:1] |
Generators of the group modulo torsion |
j |
102139918202985795140993713/451521457781599296 |
j-invariant |
L |
3.7536521517758 |
L(r)(E,1)/r! |
Ω |
0.15106835216361 |
Real period |
R |
0.77648050079972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12558n2 |
Quadratic twists by: -3 |