Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050es |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
6709248 |
Modular degree for the optimal curve |
Δ |
-3.9016147508906E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -1 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5077130,-10472696503] |
[a1,a2,a3,a4,a6] |
Generators |
[2949:12475:1] |
Generators of the group modulo torsion |
j |
-1557701041/4199040 |
j-invariant |
L |
11.316699551705 |
L(r)(E,1)/r! |
Ω |
0.046695801412241 |
Real period |
R |
4.3276678933001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350bd1 15210k1 76050bp1 |
Quadratic twists by: -3 5 13 |