Atkin-Lehner |
2+ 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87514d |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1108800 |
Modular degree for the optimal curve |
Δ |
-1858442589868309592 = -1 · 23 · 76 · 197 · 472 |
Discriminant |
Eigenvalues |
2+ -1 2 7- 0 -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,288781,-26975003] |
[a1,a2,a3,a4,a6] |
Generators |
[5187:158593:27] |
Generators of the group modulo torsion |
j |
22638047668438103/15796501371608 |
j-invariant |
L |
3.4669472628076 |
L(r)(E,1)/r! |
Ω |
0.14894140841014 |
Real period |
R |
1.6626611259058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1786b1 |
Quadratic twists by: -7 |