Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56840b |
Isogeny class |
Conductor |
56840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1364728400 = 24 · 52 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11858,-497007] |
[a1,a2,a3,a4,a6] |
Generators |
[504:11025:1] |
Generators of the group modulo torsion |
j |
97960237056/725 |
j-invariant |
L |
5.9346365794184 |
L(r)(E,1)/r! |
Ω |
0.45750609691522 |
Real period |
R |
3.2429275912947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113680d1 1160c1 |
Quadratic twists by: -4 -7 |