Atkin-Lehner |
2- 11+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
123728l |
Isogeny class |
Conductor |
123728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
3832598528 = 212 · 113 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 2 0 4 11+ -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2453,-45859] |
[a1,a2,a3,a4,a6] |
Generators |
[17048663820:40428231623:283593393] |
Generators of the group modulo torsion |
j |
398688256000/935693 |
j-invariant |
L |
11.843717091508 |
L(r)(E,1)/r! |
Ω |
0.67845595903529 |
Real period |
R |
17.456869440655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7733d1 |
Quadratic twists by: -4 |