Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960a |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3294720 |
Modular degree for the optimal curve |
Δ |
2.292472187702E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45910326,119526444576] |
[a1,a2,a3,a4,a6] |
Generators |
[29017405040622892071:750551112966714526990:5716999090329129] |
Generators of the group modulo torsion |
j |
167214863032952734406639296/358198779328437056625 |
j-invariant |
L |
3.8945859457957 |
L(r)(E,1)/r! |
Ω |
0.12049765164422 |
Real period |
R |
32.320845200328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960u1 73920ho1 110880dm1 |
Quadratic twists by: -4 8 -3 |