Atkin-Lehner |
2+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46640d |
Isogeny class |
Conductor |
46640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-37387790000 = -1 · 24 · 54 · 113 · 532 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2,9303] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:66:1] |
Generators of the group modulo torsion |
j |
55296/2336736875 |
j-invariant |
L |
5.4246230485174 |
L(r)(E,1)/r! |
Ω |
0.91682653966322 |
Real period |
R |
1.972246226097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23320a1 |
Quadratic twists by: -4 |