Atkin-Lehner |
3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1995d |
Isogeny class |
Conductor |
1995 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4108467163497046875 = 324 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-77594405,-263115881800] |
[a1,a2,a3,a4,a6] |
j |
51667200931417724201028999121/4108467163497046875 |
j-invariant |
L |
1.2208243884539 |
L(r)(E,1)/r! |
Ω |
0.050867682852247 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31920bu6 127680cm6 5985n5 9975l5 |
Quadratic twists by: -4 8 -3 5 |