Atkin-Lehner |
2- 3+ 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
76986s |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
7529807212042752 = 29 · 33 · 74 · 136 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-378296,-89364165] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:489:1] |
Generators of the group modulo torsion |
j |
221745144672120933891/278881748594176 |
j-invariant |
L |
7.6291070114437 |
L(r)(E,1)/r! |
Ω |
0.19251940247482 |
Real period |
R |
0.73384686224955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76986b2 |
Quadratic twists by: -3 |