Atkin-Lehner |
2+ 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51240b |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1016625375360000 = 210 · 312 · 54 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69840,-6913188] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:280:1] |
Generators of the group modulo torsion |
j |
36791090951711044/992798218125 |
j-invariant |
L |
3.9539985120692 |
L(r)(E,1)/r! |
Ω |
0.2941632854225 |
Real period |
R |
1.6801886519959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480v3 |
Quadratic twists by: -4 |