Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050du |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
1405415407500 = 22 · 39 · 54 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 3 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7130,-222803] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:53:1] |
Generators of the group modulo torsion |
j |
114075/4 |
j-invariant |
L |
11.094861015174 |
L(r)(E,1)/r! |
Ω |
0.52067487229247 |
Real period |
R |
1.7757180157894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001794 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050r1 76050b1 76050q1 |
Quadratic twists by: -3 5 13 |