Atkin-Lehner |
3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45177d |
Isogeny class |
Conductor |
45177 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
678281521952008557 = 310 · 112 · 377 |
Discriminant |
Eigenvalues |
1 3- 0 -4 11+ -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-346386,67698475] |
[a1,a2,a3,a4,a6] |
Generators |
[-589:8508:1] [-4490:76167:8] |
Generators of the group modulo torsion |
j |
1791399948625/264362373 |
j-invariant |
L |
11.66351949681 |
L(r)(E,1)/r! |
Ω |
0.27515719308815 |
Real period |
R |
2.1194284194263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1221b2 |
Quadratic twists by: 37 |