Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936b |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2813488128 = 210 · 33 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53835,4807786] |
[a1,a2,a3,a4,a6] |
Generators |
[107:522:1] |
Generators of the group modulo torsion |
j |
624099943831500/101761 |
j-invariant |
L |
4.9346266901425 |
L(r)(E,1)/r! |
Ω |
1.1242130934712 |
Real period |
R |
1.0973512759246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22968n2 45936i2 |
Quadratic twists by: -4 -3 |