Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745w |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
842688 |
Modular degree for the optimal curve |
Δ |
-10399755086015625 = -1 · 33 · 57 · 118 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- -6 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3003041,-2003298054] |
[a1,a2,a3,a4,a6] |
Generators |
[5002718449447:-142667110342865:2092240639] |
Generators of the group modulo torsion |
j |
-13972239607203889/48515625 |
j-invariant |
L |
3.7337647214556 |
L(r)(E,1)/r! |
Ω |
0.057342833937067 |
Real period |
R |
21.70433784021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235bo1 41745t1 |
Quadratic twists by: -3 -11 |