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 |
Δ |
-974519541990162432 = -1 · 224 · 39 · 112 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,118125,-44851374] |
[a1,a2,a3,a4,a6] |
j |
2260986328125/12087578624 |
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 |
5742c3 45936bb1 |
Quadratic twists by: -4 -3 |