Atkin-Lehner |
3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74415h |
Isogeny class |
Conductor |
74415 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
160160 |
Modular degree for the optimal curve |
Δ |
-99281600116875 = -1 · 37 · 54 · 116 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 11- 4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,9519,322625] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:337:1] |
Generators of the group modulo torsion |
j |
53838872576/56041875 |
j-invariant |
L |
6.8447805556588 |
L(r)(E,1)/r! |
Ω |
0.39581205882656 |
Real period |
R |
1.2352147591643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
615b1 |
Quadratic twists by: -11 |