Atkin-Lehner |
3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245v |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-1466511329390625 = -1 · 35 · 56 · 78 · 67 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36923,3291131] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:2227:1] |
Generators of the group modulo torsion |
j |
-965635947241/254390625 |
j-invariant |
L |
9.7382747480838 |
L(r)(E,1)/r! |
Ω |
0.45479159521695 |
Real period |
R |
0.2379178812761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49245f1 |
Quadratic twists by: -7 |