Atkin-Lehner |
2- 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670cd |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
11771400107250000 = 24 · 38 · 56 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3985333416,96837510291696] |
[a1,a2,a3,a4,a6] |
j |
59501710967615564842432531441/100055250000 |
j-invariant |
L |
3.9606041538077 |
L(r)(E,1)/r! |
Ω |
0.12376888004155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1830g5 |
Quadratic twists by: -7 |