Atkin-Lehner |
2- 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850bz |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
78043705173000000 = 26 · 316 · 56 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-291813,-59288469] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:1382:1] |
Generators of the group modulo torsion |
j |
175880497476668041/4994797131072 |
j-invariant |
L |
6.0602744782471 |
L(r)(E,1)/r! |
Ω |
0.20576763641901 |
Real period |
R |
2.4543357836834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550bp2 1554f2 |
Quadratic twists by: -3 5 |