Atkin-Lehner |
2+ 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48314d |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
329280 |
Modular degree for the optimal curve |
Δ |
-10549678066816 = -1 · 27 · 78 · 17 · 292 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ -2 4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-469103,123626850] |
[a1,a2,a3,a4,a6] |
Generators |
[396:-174:1] |
Generators of the group modulo torsion |
j |
-1980353372165161/1830016 |
j-invariant |
L |
2.8472686110433 |
L(r)(E,1)/r! |
Ω |
0.60396579763642 |
Real period |
R |
0.78571463874786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48314g1 |
Quadratic twists by: -7 |