Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050en |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
4672512 |
Modular degree for the optimal curve |
Δ |
-1.0275857780124E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -1 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1616855,4941345647] |
[a1,a2,a3,a4,a6] |
Generators |
[1479:75310:1] |
Generators of the group modulo torsion |
j |
-50308609/1105920 |
j-invariant |
L |
9.4938743209556 |
L(r)(E,1)/r! |
Ω |
0.10798715721032 |
Real period |
R |
0.28178428943107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350z1 15210r1 76050bi1 |
Quadratic twists by: -3 5 13 |