Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050eq |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-5.48924026716E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1997105,1143788897] |
[a1,a2,a3,a4,a6] |
Generators |
[-341:42420:1] |
Generators of the group modulo torsion |
j |
-16022066761/998400 |
j-invariant |
L |
10.688692930954 |
L(r)(E,1)/r! |
Ω |
0.19591940991596 |
Real period |
R |
0.6819572480917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25350bb1 15210s1 5850p1 |
Quadratic twists by: -3 5 13 |