Atkin-Lehner |
2- 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840bm |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-63054512640000 = -1 · 212 · 33 · 54 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11025,590625] |
[a1,a2,a3,a4,a6] |
j |
-36185864262976/15394168125 |
j-invariant |
L |
2.329520365967 |
L(r)(E,1)/r! |
Ω |
0.58238009106072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840w2 127680ca1 |
Quadratic twists by: -4 8 |