Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488bb |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
952206297359450112 = 224 · 36 · 73 · 613 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-403275,86672378] |
[a1,a2,a3,a4,a6] |
j |
2429070588015625/318891962368 |
j-invariant |
L |
1.6115125694094 |
L(r)(E,1)/r! |
Ω |
0.26858542873622 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7686t2 6832e2 |
Quadratic twists by: -4 -3 |