Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
3870d |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
354992888217600 = 224 · 39 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-184344,-30404800] |
[a1,a2,a3,a4,a6] |
Generators |
[-15884:15313:64] |
Generators of the group modulo torsion |
j |
35198225176082067/18035507200 |
j-invariant |
L |
2.5354225959551 |
L(r)(E,1)/r! |
Ω |
0.23041224145523 |
Real period |
R |
5.501926850635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30960y3 123840f3 3870m1 19350bq3 |
Quadratic twists by: -4 8 -3 5 |