Atkin-Lehner |
2+ 3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550l |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-12580312500 = -1 · 22 · 34 · 57 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 -2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6400,194500] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-140:1] [-80:490:1] |
Generators of the group modulo torsion |
j |
-1855878893569/805140 |
j-invariant |
L |
6.3468977653421 |
L(r)(E,1)/r! |
Ω |
1.244571268075 |
Real period |
R |
0.31872912424177 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bf1 |
Quadratic twists by: 5 |