Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050eu |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
-6.38673984E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 13+ 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3658505,-2719808503] |
[a1,a2,a3,a4,a6] |
Generators |
[8199:715900:1] |
Generators of the group modulo torsion |
j |
-2813198004118489/33177600000 |
j-invariant |
L |
10.99912209481 |
L(r)(E,1)/r! |
Ω |
0.054542948483481 |
Real period |
R |
1.4827929185088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987713 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350be1 15210m1 76050bq1 |
Quadratic twists by: -3 5 13 |