Atkin-Lehner |
2+ 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
69090a |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.6580441544181E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1387803,536228253] |
[a1,a2,a3,a4,a6] |
j |
2512577271653081641/395927220326400 |
j-invariant |
L |
0.77182490761089 |
L(r)(E,1)/r! |
Ω |
0.19295622754893 |
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 |
9870i2 |
Quadratic twists by: -7 |