Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45864o |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-3.6096952664766E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,317814,-280717031] |
[a1,a2,a3,a4,a6] |
Generators |
[10080:1013467:1] |
Generators of the group modulo torsion |
j |
2587063175168/26304786963 |
j-invariant |
L |
4.6184588384668 |
L(r)(E,1)/r! |
Ω |
0.10159807443941 |
Real period |
R |
5.6822666964234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91728bb1 15288bc1 6552m1 |
Quadratic twists by: -4 -3 -7 |