Atkin-Lehner |
3+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
49245b |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
258720 |
Modular degree for the optimal curve |
Δ |
4223552628645 = 37 · 5 · 78 · 67 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 1 6 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-52936,-4669218] |
[a1,a2,a3,a4,a6] |
j |
2845777629184/732645 |
j-invariant |
L |
0.94425448276122 |
L(r)(E,1)/r! |
Ω |
0.31475149401555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49245bd1 |
Quadratic twists by: -7 |