Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ev |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
45158400 |
Modular degree for the optimal curve |
Δ |
-2.0223525773472E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-540415895,5297616881327] |
[a1,a2,a3,a4,a6] |
Generators |
[3715:1826046:1] |
Generators of the group modulo torsion |
j |
-198417696411528597145/22989483914821632 |
j-invariant |
L |
7.7215814989475 |
L(r)(E,1)/r! |
Ω |
0.045272409045954 |
Real period |
R |
1.0659888744596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350bf1 76050cs2 5850q1 |
Quadratic twists by: -3 5 13 |