Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400b |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4802490000000000 = 210 · 34 · 510 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51408,-2984688] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:1188:1] |
Generators of the group modulo torsion |
j |
939083699236/300155625 |
j-invariant |
L |
5.3730196097983 |
L(r)(E,1)/r! |
Ω |
0.32507359359669 |
Real period |
R |
2.066078158815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923643 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46200bl2 18480w2 |
Quadratic twists by: -4 5 |