Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
88752b |
Isogeny class |
Conductor |
88752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
321024 |
Modular degree for the optimal curve |
Δ |
-10816839574272 = -1 · 28 · 312 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 3 -1 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51313,-4459667] |
[a1,a2,a3,a4,a6] |
Generators |
[23923444:646919703:29791] |
Generators of the group modulo torsion |
j |
-734123392000/531441 |
j-invariant |
L |
6.604641579126 |
L(r)(E,1)/r! |
Ω |
0.15859633511459 |
Real period |
R |
10.411087963289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44376d1 88752g1 |
Quadratic twists by: -4 -43 |