Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936b |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
53775988992 = 28 · 33 · 11 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3375,74638] |
[a1,a2,a3,a4,a6] |
Generators |
[41:72:1] |
Generators of the group modulo torsion |
j |
615093750000/7780091 |
j-invariant |
L |
4.9346266901425 |
L(r)(E,1)/r! |
Ω |
1.1242130934712 |
Real period |
R |
2.1947025518492 |
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 |
22968n1 45936i1 |
Quadratic twists by: -4 -3 |