Atkin-Lehner |
2+ 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
61320c |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.1565466380359E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-609302016,5788485145980] |
[a1,a2,a3,a4,a6] |
j |
24429895059720549093196142596/3082565076206969390625 |
j-invariant |
L |
0.30730856348333 |
L(r)(E,1)/r! |
Ω |
0.076827141733596 |
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 |
122640p2 |
Quadratic twists by: -4 |