Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936c |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-23478073344 = -1 · 211 · 33 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 11+ 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,549,-5462] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2178:1] |
Generators of the group modulo torsion |
j |
330938298/424589 |
j-invariant |
L |
7.9510174373356 |
L(r)(E,1)/r! |
Ω |
0.64153436540252 |
Real period |
R |
1.5492189246073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22968o1 45936j1 |
Quadratic twists by: -4 -3 |