Atkin-Lehner |
3+ 7+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
29127b |
Isogeny class |
Conductor |
29127 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66304 |
Modular degree for the optimal curve |
Δ |
6176233520793 = 314 · 72 · 192 · 73 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26173,1614482] |
[a1,a2,a3,a4,a6] |
j |
1982829011986572625/6176233520793 |
j-invariant |
L |
1.5149007823544 |
L(r)(E,1)/r! |
Ω |
0.75745039117739 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87381c1 |
Quadratic twists by: -3 |