Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56925s |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7630848 |
Modular degree for the optimal curve |
Δ |
-1.8575423711567E+23 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11- 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-94687950,-355247723219] |
[a1,a2,a3,a4,a6] |
Generators |
[334965:16632674:27] |
Generators of the group modulo torsion |
j |
-8242525516078490484736/16307642215915875 |
j-invariant |
L |
5.7155877890279 |
L(r)(E,1)/r! |
Ω |
0.024196045384269 |
Real period |
R |
7.3818723501537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18975b1 11385i1 |
Quadratic twists by: -3 5 |