Atkin-Lehner |
2+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
75400c |
Isogeny class |
Conductor |
75400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
6341140000000 = 28 · 57 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 -4 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19633,1045363] |
[a1,a2,a3,a4,a6] |
Generators |
[87:58:1] [-87:1450:1] |
Generators of the group modulo torsion |
j |
209240544256/1585285 |
j-invariant |
L |
11.033099988175 |
L(r)(E,1)/r! |
Ω |
0.75681928280882 |
Real period |
R |
0.60742704361088 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15080k1 |
Quadratic twists by: 5 |