Atkin-Lehner |
2+ 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090o |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1259689902187500000 = 25 · 36 · 510 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-306912,36844704] |
[a1,a2,a3,a4,a6] |
j |
27175609354259449/10707187500000 |
j-invariant |
L |
2.4774597405979 |
L(r)(E,1)/r! |
Ω |
0.24774597550583 |
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 |
1410e2 |
Quadratic twists by: -7 |