Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41745s |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
665584325505 = 33 · 5 · 118 · 23 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7384,-241639] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-38:1] |
Generators of the group modulo torsion |
j |
25128011089/375705 |
j-invariant |
L |
7.7338944606611 |
L(r)(E,1)/r! |
Ω |
0.51549804688036 |
Real period |
R |
5.0009206355323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235bt1 3795h1 |
Quadratic twists by: -3 -11 |