Atkin-Lehner |
2+ 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720i |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
19430400 = 210 · 3 · 52 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-404800,-98996048] |
[a1,a2,a3,a4,a6] |
Generators |
[-2212482818:-83175:6028568] |
Generators of the group modulo torsion |
j |
7163847625158892804/18975 |
j-invariant |
L |
7.2705885598263 |
L(r)(E,1)/r! |
Ω |
0.18927329352956 |
Real period |
R |
9.6032942946577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000001608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360bh4 |
Quadratic twists by: -4 |