Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936v |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-90907099987968 = -1 · 216 · 33 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85155,-9575518] |
[a1,a2,a3,a4,a6] |
j |
-617490755098875/822004304 |
j-invariant |
L |
2.2356424358078 |
L(r)(E,1)/r! |
Ω |
0.13972765222927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5742c1 45936bb3 |
Quadratic twists by: -4 -3 |